10021211012100 has 72 divisors (see below), whose sum is σ = 28995038296000. Its totient is φ = 2672292113280.

The previous prime is 10021211012069. The next prime is 10021211012107. The reversal of 10021211012100 is 121011212001.

10021211012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (10021211012107) 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, 39397929 + ... + 39651471.

Almost surely, 2^{10021211012100} is an apocalyptic number.

10021211012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021211012100 is an abundant number, since it is smaller than the sum of its proper divisors (18973827283900).

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

10021211012100 is a wasteful number, since it uses less digits than its factorization.

10021211012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385309 (or 385302 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10021211012100 its reverse (121011212001), we get a palindrome (10142222224101).

The spelling of 10021211012100 in words is "ten trillion, twenty-one billion, two hundred eleven million, twelve thousand, one hundred".