102200010000021 has 48 divisors (see below), whose sum is σ = 153447489074880. Its totient is φ = 65489439859200.

The previous prime is 102200009999987. The next prime is 102200010000097. The reversal of 102200010000021 is 120000010002201.

It is not a de Polignac number, because 102200010000021 - 2³⁰ = 102198936258197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102200009999958 and 102200010000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200010000821) 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, 528886221 + ... + 529079421.

It is an arithmetic number, because the mean of its divisors is an integer number (3196822689060).

Almost surely, 2^{102200010000021} is an apocalyptic number.

It is an amenable number.

102200010000021 is a deficient number, since it is larger than the sum of its proper divisors (51247479074859).

102200010000021 is a wasteful number, since it uses less digits than its factorization.

102200010000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212466 (or 212463 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102200010000021 its reverse (120000010002201), we get a palindrome (222200020002222).

The spelling of 102200010000021 in words is "one hundred two trillion, two hundred billion, ten million, twenty-one", and thus it is an aban number.