10222101002120 has 64 divisors (see below), whose sum is σ = 26395383513600. Its totient is φ = 3490056218880.

The previous prime is 10222101002093. The next prime is 10222101002143. The reversal of 10222101002120 is 2120010122201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10222101002095 and 10222101002104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76308611 + ... + 76442450.

It is an arithmetic number, because the mean of its divisors is an integer number (412427867400).

Almost surely, 2^{10222101002120} is an apocalyptic number.

10222101002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222101002120 is an abundant number, since it is smaller than the sum of its proper divisors (16173282511480).

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

10222101002120 is a wasteful number, since it uses less digits than its factorization.

10222101002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152751318 (or 152751314 counting only the distinct ones).

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

Adding to 10222101002120 its reverse (2120010122201), we get a palindrome (12342111124321).

The spelling of 10222101002120 in words is "ten trillion, two hundred twenty-two billion, one hundred one million, two thousand, one hundred twenty".