102121202100100 has 54 divisors (see below), whose sum is σ = 235405272132590. Its totient is φ = 38445629015040.

The previous prime is 102121202100061. The next prime is 102121202100103. The reversal of 102121202100100 is 1001202121201.

It can be written as a sum of positive squares in 9 ways, for example, as 161655460096 + 101959546640004 = 402064^2 + 10097502^2 .

It is not an unprimeable number, because it can be changed into a prime (102121202100103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1766773905 + ... + 1766831704.

Almost surely, 2^{102121202100100} is an apocalyptic number.

102121202100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121202100100 is an abundant number, since it is smaller than the sum of its proper divisors (133284070032490).

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

102121202100100 is a wasteful number, since it uses less digits than its factorization.

102121202100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533605657 (or 3533605633 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102121202100100 its reverse (1001202121201), we get a palindrome (103122404221301).

The spelling of 102121202100100 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred two million, one hundred thousand, one hundred".