112101220102120 has 32 divisors (see below), whose sum is σ = 252385683849000. Its totient is φ = 44812410064128.

The previous prime is 112101220102117. The next prime is 112101220102147. The reversal of 112101220102120 is 21201022101211.

It can be written as a sum of positive squares in 4 ways, for example, as 89119301851204 + 22981918250916 = 9440302^2 + 4793946^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112101220102094 and 112101220102103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 877372095 + ... + 877499854.

Almost surely, 2^{112101220102120} is an apocalyptic number.

112101220102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112101220102120 is an abundant number, since it is smaller than the sum of its proper divisors (140284463746880).

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

112101220102120 is a wasteful number, since it uses less digits than its factorization.

112101220102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754873557 (or 1754873553 counting only the distinct ones).

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

Adding to 112101220102120 its reverse (21201022101211), we get a palindrome (133302242203331).

The spelling of 112101220102120 in words is "one hundred twelve trillion, one hundred one billion, two hundred twenty million, one hundred two thousand, one hundred twenty".