201101010210120 has 128 divisors (see below), whose sum is σ = 604333115136000. Its totient is φ = 53535435448320.

The previous prime is 201101010210109. The next prime is 201101010210169. The reversal of 201101010210120 is 21012010101102.

201101010210120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 201101010210096 and 201101010210105.

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, 206196825 + ... + 207169815.

It is an arithmetic number, because the mean of its divisors is an integer number (4721352462000).

Almost surely, 2^{201101010210120} is an apocalyptic number.

201101010210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101010210120 is an abundant number, since it is smaller than the sum of its proper divisors (403232104925880).

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

201101010210120 is a wasteful number, since it uses less digits than its factorization.

201101010210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975943 (or 975939 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201101010210120 its reverse (21012010101102), we get a palindrome (222113020311222).

The spelling of 201101010210120 in words is "two hundred one trillion, one hundred one billion, ten million, two hundred ten thousand, one hundred twenty".