102122122000100 has 18 divisors (see below), whose sum is σ = 221605004740434. Its totient is φ = 40848848800000.

The previous prime is 102122122000091. The next prime is 102122122000163. The reversal of 102122122000100 is 1000221221201.

It can be written as a sum of positive squares in 3 ways, for example, as 28094579386624 + 74027542613476 = 5300432^2 + 8603926^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510610609901 + ... + 510610610100.

Almost surely, 2^{102122122000100} is an apocalyptic number.

102122122000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122122000100 is an abundant number, since it is smaller than the sum of its proper divisors (119482882740334).

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

102122122000100 is a wasteful number, since it uses less digits than its factorization.

102122122000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021221220015 (or 1021221220008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102122122000100 its reverse (1000221221201), we get a palindrome (103122343221301).

The spelling of 102122122000100 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred", and thus it is an aban number.