102121112100100 has 36 divisors (see below), whose sum is σ = 221604314267700. Its totient is φ = 40848168156160.

The previous prime is 102121112100031. The next prime is 102121112100109. The reversal of 102121112100100 is 1001211121201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10137053647876 + 91984058452224 = 3183874^2 + 9590832^2 .

It is a super-2 number, since 2×102121112100100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102121112100109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11709816 + ... + 18475984.

It is an arithmetic number, because the mean of its divisors is an integer number (6155675396325).

Almost surely, 2^{102121112100100} is an apocalyptic number.

102121112100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121112100100 is an abundant number, since it is smaller than the sum of its proper divisors (119483202167600).

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

102121112100100 is a wasteful number, since it uses less digits than its factorization.

102121112100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6917112 (or 6917105 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102121112100100 its reverse (1001211121201), we get a palindrome (103122323221301).

The spelling of 102121112100100 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twelve million, one hundred thousand, one hundred".