101021111120112 has 80 divisors (see below), whose sum is σ = 267057203221248. Its totient is φ = 32888512581120.

The previous prime is 101021111120089. The next prime is 101021111120141. The reversal of 101021111120112 is 211021111120101.

It is a junction number, because it is equal to n+sod(n) for n = 101021111120091 and 101021111120100.

It is a congruent number.

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, 31237413 + ... + 34319355.

Almost surely, 2^{101021111120112} is an apocalyptic number.

101021111120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101021111120112 is an abundant number, since it is smaller than the sum of its proper divisors (166036092101136).

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

101021111120112 is a wasteful number, since it uses less digits than its factorization.

101021111120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097878 (or 3097872 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101021111120112 its reverse (211021111120101), we get a palindrome (312042222240213).

The spelling of 101021111120112 in words is "one hundred one trillion, twenty-one billion, one hundred eleven million, one hundred twenty thousand, one hundred twelve".