201202201120100 has 72 divisors (see below), whose sum is σ = 462436987091688. Its totient is φ = 75722896742400.

The previous prime is 201202201120093. The next prime is 201202201120163. The reversal of 201202201120100 is 1021102202102.

It can be written as a sum of positive squares in 12 ways, for example, as 116205122903104 + 84997078216996 = 10779848^2 + 9219386^2 .

It is a super-3 number, since 3×201202201120100³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13195607 + ... + 24011006.

It is an arithmetic number, because the mean of its divisors is an integer number (6422735931829).

Almost surely, 2^{201202201120100} is an apocalyptic number.

201202201120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201202201120100 is an abundant number, since it is smaller than the sum of its proper divisors (261234785971588).

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

201202201120100 is a wasteful number, since it uses less digits than its factorization.

201202201120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37209825 (or 37209818 counting only the distinct ones).

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

Adding to 201202201120100 its reverse (1021102202102), we get a palindrome (202223303322202).

The spelling of 201202201120100 in words is "two hundred one trillion, two hundred two billion, two hundred one million, one hundred twenty thousand, one hundred".