20101120002120 has 128 divisors (see below), whose sum is σ = 61215976333440. Its totient is φ = 5279727206400.

The previous prime is 20101120002113. The next prime is 20101120002157. The reversal of 20101120002120 is 2120002110102.

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 = 20101120002096 and 20101120002105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1957494 + ... + 6635813.

It is an arithmetic number, because the mean of its divisors is an integer number (478249815105).

Almost surely, 2^{20101120002120} is an apocalyptic number.

20101120002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101120002120 is an abundant number, since it is smaller than the sum of its proper divisors (41114856331320).

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

20101120002120 is a wasteful number, since it uses less digits than its factorization.

20101120002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8593615 (or 8593611 counting only the distinct ones).

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

Adding to 20101120002120 its reverse (2120002110102), we get a palindrome (22221122112222).

The spelling of 20101120002120 in words is "twenty trillion, one hundred one billion, one hundred twenty million, two thousand, one hundred twenty".