10122101121120 has 48 divisors (see below), whose sum is σ = 31884618533040. Its totient is φ = 2699226965504.

The previous prime is 10122101121023. The next prime is 10122101121239. The reversal of 10122101121120 is 2112110122101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10122101121120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10122101121120.

It is a congruent number.

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, 10543854855 + ... + 10543855814.

It is an arithmetic number, because the mean of its divisors is an integer number (664262886105).

Almost surely, 2^{10122101121120} is an apocalyptic number.

10122101121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122101121120 is an abundant number, since it is smaller than the sum of its proper divisors (21762517411920).

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

10122101121120 is a wasteful number, since it uses less digits than its factorization.

10122101121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21087710687 (or 21087710679 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10122101121120 its reverse (2112110122101), we get a palindrome (12234211243221).

The spelling of 10122101121120 in words is "ten trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty".