101663431121 has 16 divisors (see below), whose sum is σ = 119483804160. Its totient is φ = 84683857920.

The previous prime is 101663431069. The next prime is 101663431123. The reversal of 101663431121 is 121134366101.

It is a cyclic number.

It is not a de Polignac number, because 101663431121 - 2⁶ = 101663431057 is a prime.

It is a super-2 number, since 2×101663431121² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101663431123) 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, 615401 + ... + 762918.

It is an arithmetic number, because the mean of its divisors is an integer number (7467737760).

Almost surely, 2^101663431121 is an apocalyptic number.

It is an amenable number.

101663431121 is a deficient number, since it is larger than the sum of its proper divisors (17820373039).

101663431121 is a wasteful number, since it uses less digits than its factorization.

101663431121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378624.

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 101663431121 its reverse (121134366101), we get a palindrome (222797797222).

The spelling of 101663431121 in words is "one hundred one billion, six hundred sixty-three million, four hundred thirty-one thousand, one hundred twenty-one".