202000100011121 has 8 divisors (see below), whose sum is σ = 202022441096424. Its totient is φ = 201977759692800.

The previous prime is 202000100011091. The next prime is 202000100011211. The reversal of 202000100011121 is 121110001000202.

It can be written as a sum of positive squares in 4 ways, for example, as 5569784081521 + 196430315929600 = 2360039^2 + 14015360^2 .

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 202000100011121 - 2²² = 202000095816817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202000100061121) 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, 642138545 + ... + 642453041.

It is an arithmetic number, because the mean of its divisors is an integer number (25252805137053).

Almost surely, 2^{202000100011121} is an apocalyptic number.

It is an amenable number.

202000100011121 is a deficient number, since it is larger than the sum of its proper divisors (22341085303).

202000100011121 is a wasteful number, since it uses less digits than its factorization.

202000100011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383491.

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

Adding to 202000100011121 its reverse (121110001000202), we get a palindrome (323110101011323).

The spelling of 202000100011121 in words is "two hundred two trillion, one hundred million, eleven thousand, one hundred twenty-one".