20100100201121 has 8 divisors (see below), whose sum is σ = 20250906957960. Its totient is φ = 19949774487552.

The previous prime is 20100100201117. The next prime is 20100100201141. The reversal of 20100100201121 is 12110200100102.

It can be written as a sum of positive squares in 4 ways, for example, as 11596920721 + 20088503280400 = 107689^2 + 4482020^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20100100201121 - 2² = 20100100201117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20100100201141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120176936 + ... + 120344073.

It is an arithmetic number, because the mean of its divisors is an integer number (2531363369745).

Almost surely, 2^{20100100201121} is an apocalyptic number.

It is an amenable number.

20100100201121 is a deficient number, since it is larger than the sum of its proper divisors (150806756839).

20100100201121 is a wasteful number, since it uses less digits than its factorization.

20100100201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240521635.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20100100201121 its reverse (12110200100102), we get a palindrome (32210300301223).

The spelling of 20100100201121 in words is "twenty trillion, one hundred billion, one hundred million, two hundred one thousand, one hundred twenty-one".