1010101000 has 128 divisors (see below), whose sum is σ = 2437400160. Its totient is φ = 391680000.

The previous prime is 1010100991. The next prime is 1010101007. The reversal of 1010101000 is 1010101.

It can be written as a sum of positive squares in 16 ways, for example, as 25020004 + 985080996 = 5002^2 + 31386^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (1010101007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7372932 + ... + 7373068.

Almost surely, 2^1010101000 is an apocalyptic number.

1010101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218700080).

1010101000 is an abundant number, since it is smaller than the sum of its proper divisors (1427299160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010101000 is a wasteful number, since it uses less digits than its factorization.

1010101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1010101000 is about 31782.0861492760. The cubic root of 1010101000 is about 1003.3557265035.

Adding to 1010101000 its reverse (1010101), we get a palindrome (1011111101).

1010101000 divided by its reverse (1010101) gives a cube (1000 = 10³).

It can be divided in two parts, 1010 and 101000, that multiplied together give a square (102010000 = 10100²).

The spelling of 1010101000 in words is "one billion, ten million, one hundred one thousand".