101010100000 has 288 divisors, whose sum is σ = 256320750672. Its totient is φ = 39168000000.

The previous prime is 101010099991. The next prime is 101010100003. The reversal of 101010100000 is 1010101.

It can be written as a sum of positive squares in 24 ways, for example, as 48874597776 + 52135502224 = 221076^2 + 228332^2 .

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 (101010100003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 737299932 + ... + 737300068.

Almost surely, 2^101010100000 is an apocalyptic number.

101010100000 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 101010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128160375336).

101010100000 is an abundant number, since it is smaller than the sum of its proper divisors (155310650672).

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

101010100000 is an equidigital number, since it uses as much as digits as its factorization.

101010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 318 counting only the distinct ones).

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

Adding to 101010100000 its reverse (1010101), we get a palindrome (101011110101).

101010100000 divided by its reverse (1010101) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 1010 and 10100000, that multiplied together give a square (10201000000 = 101000²).

The spelling of 101010100000 in words is "one hundred one billion, ten million, one hundred thousand".