101100122132331 has 24 divisors (see below), whose sum is σ = 156972894730704. Its totient is φ = 57710877611520.

The previous prime is 101100122132297. The next prime is 101100122132333. The reversal of 101100122132331 is 133231221001101.

It is not a de Polignac number, because 101100122132331 - 2²¹ = 101100120035179 is a prime.

It is a super-5 number, since 5×101100122132331⁵ (a number of 71 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101100122132298 and 101100122132307.

It is not an unprimeable number, because it can be changed into a prime (101100122132333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360697230 + ... + 360977411.

It is an arithmetic number, because the mean of its divisors is an integer number (6540537280446).

Almost surely, 2^{101100122132331} is an apocalyptic number.

101100122132331 is a deficient number, since it is larger than the sum of its proper divisors (55872772598373).

101100122132331 is an equidigital number, since it uses as much as digits as its factorization.

101100122132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721675611 (or 721675604 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101100122132331 its reverse (133231221001101), we get a palindrome (234331343133432).

The spelling of 101100122132331 in words is "one hundred one trillion, one hundred billion, one hundred twenty-two million, one hundred thirty-two thousand, three hundred thirty-one".