201001012112120 has 256 divisors, whose sum is σ = 541003719168000. Its totient is φ = 66395892326400.

The previous prime is 201001012112099. The next prime is 201001012112227. The reversal of 201001012112120 is 21211210100102.

It is a super-2 number, since 2×201001012112120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201001012112095 and 201001012112104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24690704 + ... + 31806176.

It is an arithmetic number, because the mean of its divisors is an integer number (2113295778000).

Almost surely, 2^{201001012112120} is an apocalyptic number.

201001012112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201001012112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270501859584000).

201001012112120 is an abundant number, since it is smaller than the sum of its proper divisors (340002707055880).

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

201001012112120 is a wasteful number, since it uses less digits than its factorization.

201001012112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7115654 (or 7115650 counting only the distinct ones).

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

Adding to 201001012112120 its reverse (21211210100102), we get a palindrome (222212222212222).

The spelling of 201001012112120 in words is "two hundred one trillion, one billion, twelve million, one hundred twelve thousand, one hundred twenty".