102210012022120 has 32 divisors (see below), whose sum is σ = 243500322760200. Its totient is φ = 38479063349248.

The previous prime is 102210012022033. The next prime is 102210012022127. The reversal of 102210012022120 is 21220210012201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 74603331331684 + 27606680690436 = 8637322^2 + 5254206^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102210012022094 and 102210012022103.

It is not an unprimeable number, because it can be changed into a prime (102210012022127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75154419925 + ... + 75154421284.

Almost surely, 2^{102210012022120} is an apocalyptic number.

102210012022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210012022120 is an abundant number, since it is smaller than the sum of its proper divisors (141290310738080).

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

102210012022120 is a wasteful number, since it uses less digits than its factorization.

102210012022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150308841237 (or 150308841233 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102210012022120 its reverse (21220210012201), we get a palindrome (123430222034321).

The spelling of 102210012022120 in words is "one hundred two trillion, two hundred ten billion, twelve million, twenty-two thousand, one hundred twenty".