101132122101 has 16 divisors (see below), whose sum is σ = 143012215680. Its totient is φ = 63432832320.

The previous prime is 101132122097. The next prime is 101132122129. The reversal of 101132122101 is 101221231101.

It is not a de Polignac number, because 101132122101 - 2² = 101132122097 is a prime.

It is a super-2 number, since 2×101132122101² (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 (101132123101) 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, 12009586 + ... + 12018003.

It is an arithmetic number, because the mean of its divisors is an integer number (8938263480).

Almost surely, 2^101132122101 is an apocalyptic number.

It is an amenable number.

101132122101 is a deficient number, since it is larger than the sum of its proper divisors (41880093579).

101132122101 is a wasteful number, since it uses less digits than its factorization.

101132122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24027676.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101132122101 its reverse (101221231101), we get a palindrome (202353353202).

The spelling of 101132122101 in words is "one hundred one billion, one hundred thirty-two million, one hundred twenty-two thousand, one hundred one".