100201011022120 has 64 divisors (see below), whose sum is σ = 225602119829520. Its totient is φ = 40053768904704.

The previous prime is 100201011022117. The next prime is 100201011022121. The reversal of 100201011022120 is 21220110102001.

It can be written as a sum of positive squares in 8 ways, for example, as 83237996792196 + 16963014229924 = 9123486^2 + 4118618^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100201011022120.

It is not an unprimeable number, because it can be changed into a prime (100201011022121) 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, 1046186554 + ... + 1046282326.

Almost surely, 2^{100201011022120} is an apocalyptic number.

100201011022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201011022120 is an abundant number, since it is smaller than the sum of its proper divisors (125401108807400).

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

100201011022120 is a wasteful number, since it uses less digits than its factorization.

100201011022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112894 (or 112890 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100201011022120 its reverse (21220110102001), we get a palindrome (121421121124121).

The spelling of 100201011022120 in words is "one hundred trillion, two hundred one billion, eleven million, twenty-two thousand, one hundred twenty".