101331122102132 has 48 divisors (see below), whose sum is σ = 191519859600720. Its totient is φ = 46633765235712.

The previous prime is 101331122102129. The next prime is 101331122102209. The reversal of 101331122102132 is 231201221133101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3386174104336 + 97944947997796 = 1840156^2 + 9896714^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101331122102098 and 101331122102107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27290438 + ... + 30780354.

It is an arithmetic number, because the mean of its divisors is an integer number (3989997075015).

Almost surely, 2^{101331122102132} is an apocalyptic number.

It is an amenable number.

101331122102132 is a deficient number, since it is larger than the sum of its proper divisors (90188737498588).

101331122102132 is a wasteful number, since it uses less digits than its factorization.

101331122102132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491540 (or 3491538 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 101331122102132 its reverse (231201221133101), we get a palindrome (332532343235233).

The spelling of 101331122102132 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred twenty-two million, one hundred two thousand, one hundred thirty-two".