201002202121120 has 48 divisors (see below), whose sum is σ = 474870791241000. Its totient is φ = 80400357889024.

The previous prime is 201002202121081. The next prime is 201002202121139. The reversal of 201002202121120 is 21121202200102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51383607351696 + 149618594769424 = 7168236^2 + 12231868^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201002202121094 and 201002202121103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21072594 + ... + 29087086.

Almost surely, 2^{201002202121120} is an apocalyptic number.

201002202121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002202121120 is an abundant number, since it is smaller than the sum of its proper divisors (273868589119880).

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

201002202121120 is a wasteful number, since it uses less digits than its factorization.

201002202121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8171257 (or 8171249 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201002202121120 its reverse (21121202200102), we get a palindrome (222123404321222).

The spelling of 201002202121120 in words is "two hundred one trillion, two billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".