101112210002120 has 32 divisors (see below), whose sum is σ = 229754972241720. Its totient is φ = 40044439603200.

The previous prime is 101112210002119. The next prime is 101112210002129. The reversal of 101112210002120 is 21200012211101.

It can be written as a sum of positive squares in 4 ways, for example, as 97332786284644 + 3779423717476 = 9865738^2 + 1944074^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101112210002095 and 101112210002104.

It is not an unprimeable number, because it can be changed into a prime (101112210002129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12513883337 + ... + 12513891416.

Almost surely, 2^{101112210002120} is an apocalyptic number.

101112210002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112210002120 is an abundant number, since it is smaller than the sum of its proper divisors (128642762239600).

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

101112210002120 is a wasteful number, since it uses less digits than its factorization.

101112210002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25027774865 (or 25027774861 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101112210002120 its reverse (21200012211101), we get a palindrome (122312222213221).

The spelling of 101112210002120 in words is "one hundred one trillion, one hundred twelve billion, two hundred ten million, two thousand, one hundred twenty".