20101012211120 has 20 divisors (see below), whose sum is σ = 46734853391040. Its totient is φ = 8040404884416.

The previous prime is 20101012211083. The next prime is 20101012211129. The reversal of 20101012211120 is 2111221010102.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 20101012211095 and 20101012211104.

It is not an unprimeable number, because it can be changed into a prime (20101012211129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125631326240 + ... + 125631326399.

It is an arithmetic number, because the mean of its divisors is an integer number (2336742669552).

Almost surely, 2^{20101012211120} is an apocalyptic number.

20101012211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101012211120 is an abundant number, since it is smaller than the sum of its proper divisors (26633841179920).

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

20101012211120 is a wasteful number, since it uses less digits than its factorization.

20101012211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251262652652 (or 251262652646 counting only the distinct ones).

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

Adding to 20101012211120 its reverse (2111221010102), we get a palindrome (22212233221222).

The spelling of 20101012211120 in words is "twenty trillion, one hundred one billion, twelve million, two hundred eleven thousand, one hundred twenty".