10021211012112 has 80 divisors (see below), whose sum is σ = 26361684708480. Its totient is φ = 3279690086400.

The previous prime is 10021211012107. The next prime is 10021211012143. The reversal of 10021211012112 is 21121011212001.

It is a happy number.

10021211012112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10021211012091 and 10021211012100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5279287 + ... + 6921942.

It is an arithmetic number, because the mean of its divisors is an integer number (329521058856).

Almost surely, 2^{10021211012112} is an apocalyptic number.

10021211012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10021211012112 is an abundant number, since it is smaller than the sum of its proper divisors (16340473696368).

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

10021211012112 is a wasteful number, since it uses less digits than its factorization.

10021211012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12201552 (or 12201546 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10021211012112 its reverse (21121011212001), we get a palindrome (31142222224113).

The spelling of 10021211012112 in words is "ten trillion, twenty-one billion, two hundred eleven million, twelve thousand, one hundred twelve".