201102101122120 has 48 divisors (see below), whose sum is σ = 497353750101180. Its totient is φ = 73128036769920.

The previous prime is 201102101122003. The next prime is 201102101122123. The reversal of 201102101122120 is 21221101201102.

201102101122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 200297954907556 + 804146214564 = 14152666^2 + 896742^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201102101122094 and 201102101122103.

It is not an unprimeable number, because it can be changed into a prime (201102101122123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20775005607 + ... + 20775015286.

Almost surely, 2^{201102101122120} is an apocalyptic number.

201102101122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201102101122120 is an abundant number, since it is smaller than the sum of its proper divisors (296251648979060).

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

201102101122120 is a wasteful number, since it uses less digits than its factorization.

201102101122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41550020926 (or 41550020911 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201102101122120 its reverse (21221101201102), we get a palindrome (222323202323222).

The spelling of 201102101122120 in words is "two hundred one trillion, one hundred two billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty".