2101001220120 has 128 divisors (see below), whose sum is σ = 7061842103040. Its totient is φ = 495567843840.

The previous prime is 2101001220107. The next prime is 2101001220193. The reversal of 2101001220120 is 210221001012.

It is a super-2 number, since 2×2101001220120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2101001220096 and 2101001220105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21460182 + ... + 21557861.

It is an arithmetic number, because the mean of its divisors is an integer number (55170641430).

Almost surely, 2^{2101001220120} is an apocalyptic number.

2101001220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101001220120 is an abundant number, since it is smaller than the sum of its proper divisors (4960840882920).

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

2101001220120 is a wasteful number, since it uses less digits than its factorization.

2101001220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43018105 (or 43018101 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2101001220120 its reverse (210221001012), we get a palindrome (2311222221132).

The spelling of 2101001220120 in words is "two trillion, one hundred one billion, one million, two hundred twenty thousand, one hundred twenty".