10102221032112 has 60 divisors (see below), whose sum is σ = 30842386943784. Its totient is φ = 3061279100160.

The previous prime is 10102221032009. The next prime is 10102221032129. The reversal of 10102221032112 is 21123012220101.

10102221032112 is a `hidden beast` number, since 10 + 102 + 221 + 0 + 321 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3188830813 + ... + 3188833980.

Almost surely, 2^{10102221032112} is an apocalyptic number.

10102221032112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10102221032112 is an abundant number, since it is smaller than the sum of its proper divisors (20740165911672).

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

10102221032112 is a wasteful number, since it uses less digits than its factorization.

10102221032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6377664818 (or 6377664809 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10102221032112 its reverse (21123012220101), we get a palindrome (31225233252213).

The spelling of 10102221032112 in words is "ten trillion, one hundred two billion, two hundred twenty-one million, thirty-two thousand, one hundred twelve".