102121020020100 has 72 divisors (see below), whose sum is σ = 308316679594560. Its totient is φ = 26048260177280.

The previous prime is 102121020020099. The next prime is 102121020020101. The reversal of 102121020020100 is 1020020121201.

It is an interprime number because it is at equal distance from previous prime (102121020020099) and next prime (102121020020101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102121020020101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7400067015 + ... + 7400080814.

It is an arithmetic number, because the mean of its divisors is an integer number (4282176105480).

Almost surely, 2^{102121020020100} is an apocalyptic number.

102121020020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121020020100 is an abundant number, since it is smaller than the sum of its proper divisors (206195659574460).

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

102121020020100 is a wasteful number, since it uses less digits than its factorization.

102121020020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14800147869 (or 14800147862 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102121020020100 its reverse (1020020121201), we get a palindrome (103141040141301).

The spelling of 102121020020100 in words is "one hundred two trillion, one hundred twenty-one billion, twenty million, twenty thousand, one hundred".