201011220210120 has 64 divisors (see below), whose sum is σ = 603046209565440. Its totient is φ = 53601876595200.

The previous prime is 201011220210113. The next prime is 201011220210121. The reversal of 201011220210120 is 21012022110102.

It is a super-2 number, since 2×201011220210120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201011220210120.

It is not an unprimeable number, because it can be changed into a prime (201011220210121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11630496 + ... + 23179535.

It is an arithmetic number, because the mean of its divisors is an integer number (9422597024460).

Almost surely, 2^{201011220210120} is an apocalyptic number.

201011220210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201011220210120 is an abundant number, since it is smaller than the sum of its proper divisors (402034989355320).

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

201011220210120 is a wasteful number, since it uses less digits than its factorization.

201011220210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34858166 (or 34858162 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201011220210120 its reverse (21012022110102), we get a palindrome (222023242320222).

The spelling of 201011220210120 in words is "two hundred one trillion, eleven billion, two hundred twenty million, two hundred ten thousand, one hundred twenty".