101331122102131 has 8 divisors (see below), whose sum is σ = 101652522372000. Its totient is φ = 101010147248640.

The previous prime is 101331122102129. The next prime is 101331122102209. The reversal of 101331122102131 is 131201221133101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101331122102131 - 2¹ = 101331122102129 is a prime.

It is a super-2 number, since 2×101331122102131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101331122102101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105876951 + ... + 106829728.

It is an arithmetic number, because the mean of its divisors is an integer number (12706565296500).

Almost surely, 2^{101331122102131} is an apocalyptic number.

101331122102131 is a deficient number, since it is larger than the sum of its proper divisors (321400269869).

101331122102131 is a wasteful number, since it uses less digits than its factorization.

101331122102131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212708189.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 101331122102131 its reverse (131201221133101), we get a palindrome (232532343235232).

The spelling of 101331122102131 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred twenty-two million, one hundred two thousand, one hundred thirty-one".