101120221000120 has 64 divisors (see below), whose sum is σ = 260035738974720. Its totient is φ = 34668148251264.

The previous prime is 101120221000069. The next prime is 101120221000147. The reversal of 101120221000120 is 21000122021101.

It is a super-2 number, since 2×101120221000120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101120221000120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2620462 + ... + 14460541.

It is an arithmetic number, because the mean of its divisors is an integer number (4063058421480).

Almost surely, 2^{101120221000120} is an apocalyptic number.

101120221000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120221000120 is an abundant number, since it is smaller than the sum of its proper divisors (158915517974600).

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

101120221000120 is a wasteful number, since it uses less digits than its factorization.

101120221000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17102164 (or 17102160 counting only the distinct ones).

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

Adding to 101120221000120 its reverse (21000122021101), we get a palindrome (122120343021221).

The spelling of 101120221000120 in words is "one hundred one trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twenty", and thus it is an aban number.