1021010000 has 50 divisors (see below), whose sum is σ = 2471991522. Its totient is φ = 408400000.

The previous prime is 1021009993. The next prime is 1021010041. The reversal of 1021010000 is 101201.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 681418816 + 339591184 = 26104^2 + 18428^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×1021010000² = 2084922840200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41051 + ... + 61050.

Almost surely, 2^1021010000 is an apocalyptic number.

1021010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021010000 is an abundant number, since it is smaller than the sum of its proper divisors (1450981522).

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

1021010000 is an equidigital number, since it uses as much as digits as its factorization.

1021010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102129 (or 102108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1021010000 is about 31953.2470963437. The cubic root of 1021010000 is about 1006.9548512422.

Adding to 1021010000 its reverse (101201), we get a palindrome (1021111201).

The spelling of 1021010000 in words is "one billion, twenty-one million, ten thousand".