10100211122120 has 32 divisors (see below), whose sum is σ = 25971971457600. Its totient is φ = 3462929527488.

The previous prime is 10100211122117. The next prime is 10100211122137. The reversal of 10100211122120 is 2122111200101.

It is a super-2 number, since 2×10100211122120² (a number of 27 digits) contains 22 as substring.

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 = 10100211122095 and 10100211122104.

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, 18036091010 + ... + 18036091569.

It is an arithmetic number, because the mean of its divisors is an integer number (811624108050).

Almost surely, 2^{10100211122120} is an apocalyptic number.

10100211122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100211122120 is an abundant number, since it is smaller than the sum of its proper divisors (15871760335480).

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

10100211122120 is a wasteful number, since it uses less digits than its factorization.

10100211122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36072182597 (or 36072182593 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10100211122120 its reverse (2122111200101), we get a palindrome (12222322322221).

The spelling of 10100211122120 in words is "ten trillion, one hundred billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twenty".