101112112002220 has 96 divisors (see below), whose sum is σ = 244339209676800. Its totient is φ = 34760160000000.

The previous prime is 101112112002127. The next prime is 101112112002299. The reversal of 101112112002220 is 22200211211101.

It is a junction number, because it is equal to n+sod(n) for n = 101112112002194 and 101112112002203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23247781 + ... + 27252220.

It is an arithmetic number, because the mean of its divisors is an integer number (2545200100800).

Almost surely, 2^{101112112002220} is an apocalyptic number.

101112112002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112112002220 is an abundant number, since it is smaller than the sum of its proper divisors (143227097674580).

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

101112112002220 is a wasteful number, since it uses less digits than its factorization.

101112112002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50500519 (or 50500517 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101112112002220 its reverse (22200211211101), we get a palindrome (123312323213321).

The spelling of 101112112002220 in words is "one hundred one trillion, one hundred twelve billion, one hundred twelve million, two thousand, two hundred twenty".