101222100002120 has 32 divisors (see below), whose sum is σ = 239736552638400. Its totient is φ = 38357848421568.

The previous prime is 101222100002087. The next prime is 101222100002201. The reversal of 101222100002120 is 21200001222101.

It is a junction number, because it is equal to n+sod(n) for n = 101222100002095 and 101222100002104.

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, 66593486084 + ... + 66593487603.

It is an arithmetic number, because the mean of its divisors is an integer number (7491767269950).

Almost surely, 2^{101222100002120} is an apocalyptic number.

101222100002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222100002120 is an abundant number, since it is smaller than the sum of its proper divisors (138514452636280).

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

101222100002120 is a wasteful number, since it uses less digits than its factorization.

101222100002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133186973717 (or 133186973713 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101222100002120 its reverse (21200001222101), we get a palindrome (122422101224221).

The spelling of 101222100002120 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred million, two thousand, one hundred twenty".