101931129201 has 16 divisors (see below), whose sum is σ = 149731420608. Its totient is φ = 61164792000.

The previous prime is 101931129199. The next prime is 101931129203. The reversal of 101931129201 is 102921139101.

It is an interprime number because it is at equal distance from previous prime (101931129199) and next prime (101931129203).

It is not a de Polignac number, because 101931129201 - 2¹ = 101931129199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101931129203) 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, 15287866 + ... + 15294531.

It is an arithmetic number, because the mean of its divisors is an integer number (9358213788).

Almost surely, 2^101931129201 is an apocalyptic number.

101931129201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101931129201 is a deficient number, since it is larger than the sum of its proper divisors (47800291407).

101931129201 is a wasteful number, since it uses less digits than its factorization.

101931129201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30582512.

The product of its (nonzero) digits is 972, while the sum is 30.

It can be divided in two parts, 101931 and 129201, that added together give a palindrome (231132).

The spelling of 101931129201 in words is "one hundred one billion, nine hundred thirty-one million, one hundred twenty-nine thousand, two hundred one".