201012100110120 has 128 divisors (see below), whose sum is σ = 649460677017600. Its totient is φ = 49477084882944.

The previous prime is 201012100110113. The next prime is 201012100110161. The reversal of 201012100110120 is 21011001210102.

201012100110120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201012100110120² (a number of 29 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 = 201012100110096 and 201012100110105.

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, 23811289 + ... + 31128791.

It is an arithmetic number, because the mean of its divisors is an integer number (5073911539200).

Almost surely, 2^{201012100110120} is an apocalyptic number.

201012100110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012100110120 is an abundant number, since it is smaller than the sum of its proper divisors (448448576907480).

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

201012100110120 is a wasteful number, since it uses less digits than its factorization.

201012100110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7335139 (or 7335135 counting only the distinct ones).

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

Adding to 201012100110120 its reverse (21011001210102), we get a palindrome (222023101320222).

The spelling of 201012100110120 in words is "two hundred one trillion, twelve billion, one hundred million, one hundred ten thousand, one hundred twenty".