101311120101 has 24 divisors (see below), whose sum is σ = 144053536320. Its totient is φ = 63320276992.

The previous prime is 101311120093. The next prime is 101311120133. The reversal of 101311120101 is 101021113101.

It is not a de Polignac number, because 101311120101 - 2³ = 101311120093 is a prime.

It is a super-2 number, since 2×101311120101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311120151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4521 + ... + 450158.

It is an arithmetic number, because the mean of its divisors is an integer number (6002230680).

Almost surely, 2^101311120101 is an apocalyptic number.

It is an amenable number.

101311120101 is a deficient number, since it is larger than the sum of its proper divisors (42742416219).

101311120101 is a wasteful number, since it uses less digits than its factorization.

101311120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454973 (or 454956 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101311120101 its reverse (101021113101), we get a palindrome (202332233202).

The spelling of 101311120101 in words is "one hundred one billion, three hundred eleven million, one hundred twenty thousand, one hundred one".