201010011100120 has 64 divisors (see below), whose sum is σ = 459945898538400. Its totient is φ = 79039894993920.

The previous prime is 201010011100111. The next prime is 201010011100201. The reversal of 201010011100120 is 21001110010102.

It is a super-2 number, since 2×201010011100120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201010011100097 and 201010011100106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145957950 + ... + 147328690.

Almost surely, 2^{201010011100120} is an apocalyptic number.

201010011100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010011100120 is an abundant number, since it is smaller than the sum of its proper divisors (258935887438280).

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

201010011100120 is a wasteful number, since it uses less digits than its factorization.

201010011100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432948 (or 1432944 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201010011100120 its reverse (21001110010102), we get a palindrome (222011121110222).

The spelling of 201010011100120 in words is "two hundred one trillion, ten billion, eleven million, one hundred thousand, one hundred twenty".