2101121120120 has 64 divisors (see below), whose sum is σ = 5196666119040. Its totient is φ = 758211625600.

The previous prime is 2101121120113. The next prime is 2101121120141. The reversal of 2101121120120 is 210211211012.

It is a super-2 number, since 2×2101121120120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101121120095 and 2101121120104.

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, 18168602 + ... + 18283881.

It is an arithmetic number, because the mean of its divisors is an integer number (81197908110).

Almost surely, 2^{2101121120120} is an apocalyptic number.

2101121120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101121120120 is an abundant number, since it is smaller than the sum of its proper divisors (3095544998920).

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

2101121120120 is a wasteful number, since it uses less digits than its factorization.

2101121120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36452636 (or 36452632 counting only the distinct ones).

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

Adding to 2101121120120 its reverse (210211211012), we get a palindrome (2311332331132).

The spelling of 2101121120120 in words is "two trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty".