102121120000100 has 18 divisors (see below), whose sum is σ = 221602830400434. Its totient is φ = 40848448000000.

The previous prime is 102121120000007. The next prime is 102121120000103. The reversal of 102121120000100 is 1000021121201.

It can be written as a sum of positive squares in 3 ways, for example, as 17496133734244 + 84624986265856 = 4182838^2 + 9199184^2 .

It is not an unprimeable number, because it can be changed into a prime (102121120000103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510605599901 + ... + 510605600100.

Almost surely, 2^{102121120000100} is an apocalyptic number.

102121120000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121120000100 is an abundant number, since it is smaller than the sum of its proper divisors (119481710400334).

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

102121120000100 is a wasteful number, since it uses less digits than its factorization.

102121120000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021211200015 (or 1021211200008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102121120000100 its reverse (1000021121201), we get a palindrome (103121141121301).

The spelling of 102121120000100 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred", and thus it is an aban number.