100201012121101 has 4 divisors (see below), whose sum is σ = 100224169280992. Its totient is φ = 100177854961212.

The previous prime is 100201012121087. The next prime is 100201012121113. The reversal of 100201012121101 is 101121210102001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100201012121101 - 2²⁵ = 100200978566669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201012121141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11578573455 + ... + 11578582108.

It is an arithmetic number, because the mean of its divisors is an integer number (25056042320248).

Almost surely, 2^{100201012121101} is an apocalyptic number.

It is an amenable number.

100201012121101 is a deficient number, since it is larger than the sum of its proper divisors (23157159891).

100201012121101 is an equidigital number, since it uses as much as digits as its factorization.

100201012121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23157159890.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100201012121101 its reverse (101121210102001), we get a palindrome (201322222223102).

The spelling of 100201012121101 in words is "one hundred trillion, two hundred one billion, twelve million, one hundred twenty-one thousand, one hundred one".