201000122100120 has 64 divisors (see below), whose sum is σ = 689143275774720. Its totient is φ = 45942885051264.

The previous prime is 201000122100119. The next prime is 201000122100137. The reversal of 201000122100120 is 21001221000102.

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 = 201000122100096 and 201000122100105.

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, 119642928982 + ... + 119642930661.

It is an arithmetic number, because the mean of its divisors is an integer number (10767863683980).

Almost surely, 2^{201000122100120} is an apocalyptic number.

201000122100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000122100120 is an abundant number, since it is smaller than the sum of its proper divisors (488143153674600).

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

201000122100120 is a wasteful number, since it uses less digits than its factorization.

201000122100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239285859664 (or 239285859660 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201000122100120 its reverse (21001221000102), we get a palindrome (222001343100222).

The spelling of 201000122100120 in words is "two hundred one trillion, one hundred twenty-two million, one hundred thousand, one hundred twenty".