201222001100120 has 128 divisors (see below), whose sum is σ = 607887444003840. Its totient is φ = 57894042263040.

The previous prime is 201222001100117. The next prime is 201222001100147. The reversal of 201222001100120 is 21001100222102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201222001100095 and 201222001100104.

It is a congruent number.

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, 2512722212 + ... + 2512802291.

It is an arithmetic number, because the mean of its divisors is an integer number (4749120656280).

Almost surely, 2^{201222001100120} is an apocalyptic number.

201222001100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222001100120 is an abundant number, since it is smaller than the sum of its proper divisors (406665442903720).

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

201222001100120 is a wasteful number, since it uses less digits than its factorization.

201222001100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025524545 (or 5025524541 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201222001100120 its reverse (21001100222102), we get a palindrome (222223101322222).

The spelling of 201222001100120 in words is "two hundred one trillion, two hundred twenty-two billion, one million, one hundred thousand, one hundred twenty".