10100222120109 has 32 divisors (see below), whose sum is σ = 15045657735168. Its totient is φ = 5975376680000.

The previous prime is 10100222120101. The next prime is 10100222120123. The reversal of 10100222120109 is 90102122200101.

It is a cyclic number.

It is not a de Polignac number, because 10100222120109 - 2³ = 10100222120101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100222120101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21103989 + ... + 21577274.

It is an arithmetic number, because the mean of its divisors is an integer number (470176804224).

Almost surely, 2^{10100222120109} is an apocalyptic number.

It is an amenable number.

10100222120109 is a deficient number, since it is larger than the sum of its proper divisors (4945435615059).

10100222120109 is a wasteful number, since it uses less digits than its factorization.

10100222120109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42681449.

The product of its (nonzero) digits is 144, while the sum is 21.

It can be divided in two parts, 101002 and 22120109, that added together give a triangular number (22221111 = T₆₆₆₆).

The spelling of 10100222120109 in words is "ten trillion, one hundred billion, two hundred twenty-two million, one hundred twenty thousand, one hundred nine".