100201121120121 has 16 divisors (see below), whose sum is σ = 152687621443584. Its totient is φ = 57257708953104.

The previous prime is 100201121120119. The next prime is 100201121120141. The reversal of 100201121120121 is 121021121102001.

It is a happy number.

It is not a de Polignac number, because 100201121120121 - 2¹ = 100201121120119 is a prime.

It is a super-2 number, since 2×100201121120121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100201121120121.

It is not an unprimeable number, because it can be changed into a prime (100201121120141) 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, 16198566 + ... + 21512688.

It is an arithmetic number, because the mean of its divisors is an integer number (9542976340224).

Almost surely, 2^{100201121120121} is an apocalyptic number.

It is an amenable number.

100201121120121 is a deficient number, since it is larger than the sum of its proper divisors (52486500323463).

100201121120121 is an equidigital number, since it uses as much as digits as its factorization.

100201121120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6212020.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100201121120121 its reverse (121021121102001), we get a palindrome (221222242222122).

The spelling of 100201121120121 in words is "one hundred trillion, two hundred one billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty-one".