2100020040120 has 64 divisors (see below), whose sum is σ = 6333044797440. Its totient is φ = 557073372800.

The previous prime is 2100020040119. The next prime is 2100020040133. The reversal of 2100020040120 is 210400200012.

It is a super-2 number, since 2×2100020040120² (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 = 2100020040096 and 2100020040105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45789036 + ... + 45834875.

It is an arithmetic number, because the mean of its divisors is an integer number (98953824960).

Almost surely, 2^{2100020040120} is an apocalyptic number.

2100020040120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100020040120 is an abundant number, since it is smaller than the sum of its proper divisors (4233024757320).

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

2100020040120 is a wasteful number, since it uses less digits than its factorization.

2100020040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91624116 (or 91624112 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2100020040120 its reverse (210400200012), we get a palindrome (2310420240132).

The spelling of 2100020040120 in words is "two trillion, one hundred billion, twenty million, forty thousand, one hundred twenty".