10002120100100 has 18 divisors (see below), whose sum is σ = 21704600617434. Its totient is φ = 4000848040000.

The previous prime is 10002120100043. The next prime is 10002120100121. The reversal of 10002120100100 is 100102120001.

It can be written as a sum of positive squares in 3 ways, for example, as 1472402657476 + 8529717442624 = 1213426^2 + 2920568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50010600401 + ... + 50010600600.

It is an arithmetic number, because the mean of its divisors is an integer number (1205811145413).

Almost surely, 2^{10002120100100} is an apocalyptic number.

10002120100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002120100100 is an abundant number, since it is smaller than the sum of its proper divisors (11702480517334).

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

10002120100100 is a wasteful number, since it uses less digits than its factorization.

10002120100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100021201015 (or 100021201008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10002120100100 its reverse (100102120001), we get a palindrome (10102222220101).

The spelling of 10002120100100 in words is "ten trillion, two billion, one hundred twenty million, one hundred thousand, one hundred".