10100222102120 has 32 divisors (see below), whose sum is σ = 22725676892520. Its totient is φ = 4040057345280.

The previous prime is 10100222102101. The next prime is 10100222102161. The reversal of 10100222102120 is 2120122200101.

It can be written as a sum of positive squares in 4 ways, for example, as 5488233919204 + 4611988182916 = 2342698^2 + 2147554^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10100222102095 and 10100222102104.

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 7 ways as a sum of consecutive naturals, for example, 4602374 + ... + 6432906.

Almost surely, 2^{10100222102120} is an apocalyptic number.

10100222102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100222102120 is an abundant number, since it is smaller than the sum of its proper divisors (12625454790400).

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

10100222102120 is a wasteful number, since it uses less digits than its factorization.

10100222102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968485 (or 1968481 counting only the distinct ones).

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

Adding to 10100222102120 its reverse (2120122200101), we get a palindrome (12220344302221).

The spelling of 10100222102120 in words is "ten trillion, one hundred billion, two hundred twenty-two million, one hundred two thousand, one hundred twenty".