10211100022120 has 16 divisors (see below), whose sum is σ = 22974975049860. Its totient is φ = 4084440008832.

The previous prime is 10211100022099. The next prime is 10211100022139. The reversal of 10211100022120 is 2122000111201.

It can be written as a sum of positive squares in 2 ways, for example, as 10036895627236 + 174204394884 = 3168106^2 + 417378^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10211100022120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127638750237 + ... + 127638750316.

Almost surely, 2^{10211100022120} is an apocalyptic number.

10211100022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211100022120 is an abundant number, since it is smaller than the sum of its proper divisors (12763875027740).

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

10211100022120 is a wasteful number, since it uses less digits than its factorization.

10211100022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255277500564 (or 255277500560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10211100022120 its reverse (2122000111201), we get a palindrome (12333100133321).

The spelling of 10211100022120 in words is "ten trillion, two hundred eleven billion, one hundred million, twenty-two thousand, one hundred twenty".