102011000021 has 16 divisors (see below), whose sum is σ = 117000844800. Its totient is φ = 87125725440.

The previous prime is 102010999973. The next prime is 102011000027. The reversal of 102011000021 is 120000110201.

It is a cyclic number.

It is not a de Polignac number, because 102011000021 - 2³⁴ = 84831130837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102010999972 and 102011000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011000027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3618701 + ... + 3646781.

It is an arithmetic number, because the mean of its divisors is an integer number (7312552800).

Almost surely, 2^102011000021 is an apocalyptic number.

It is an amenable number.

102011000021 is a deficient number, since it is larger than the sum of its proper divisors (14989844779).

102011000021 is a wasteful number, since it uses less digits than its factorization.

102011000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29924.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102011000021 its reverse (120000110201), we get a palindrome (222011110222).

The spelling of 102011000021 in words is "one hundred two billion, eleven million, twenty-one", and thus it is an aban number.