101112011201121 has 16 divisors (see below), whose sum is σ = 141947806156800. Its totient is φ = 63843922430928.

The previous prime is 101112011201099. The next prime is 101112011201153. The reversal of 101112011201121 is 121102110211101.

It is not a de Polignac number, because 101112011201121 - 2²¹ = 101112009103969 is a prime.

It is a super-2 number, since 2×101112011201121² (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 101112011201121.

It is not an unprimeable number, because it can be changed into a prime (101112011201021) 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, 226096461 + ... + 226543226.

It is an arithmetic number, because the mean of its divisors is an integer number (8871737884800).

Almost surely, 2^{101112011201121} is an apocalyptic number.

It is an amenable number.

101112011201121 is a deficient number, since it is larger than the sum of its proper divisors (40835794955679).

101112011201121 is a wasteful number, since it uses less digits than its factorization.

101112011201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452643628.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101112011201121 its reverse (121102110211101), we get a palindrome (222214121412222).

The spelling of 101112011201121 in words is "one hundred one trillion, one hundred twelve billion, eleven million, two hundred one thousand, one hundred twenty-one".