10020012120100 has 72 divisors (see below), whose sum is σ = 22216757724000. Its totient is φ = 3921398745600.

The previous prime is 10020012120091. The next prime is 10020012120127. The reversal of 10020012120100 is 102121002001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2779525 + ... + 5269324.

It is an arithmetic number, because the mean of its divisors is an integer number (308566079500).

Almost surely, 2^{10020012120100} is an apocalyptic number.

10020012120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020012120100 is an abundant number, since it is smaller than the sum of its proper divisors (12196745603900).

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

10020012120100 is a wasteful number, since it uses less digits than its factorization.

10020012120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8049133 (or 8049126 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10020012120100 its reverse (102121002001), we get a palindrome (10122133122101).

The spelling of 10020012120100 in words is "ten trillion, twenty billion, twelve million, one hundred twenty thousand, one hundred".