101031112101 has 16 divisors (see below), whose sum is σ = 137550248064. Its totient is φ = 65946495744.

The previous prime is 101031112099. The next prime is 101031112199. The reversal of 101031112101 is 101211130101.

It is not a de Polignac number, because 101031112101 - 2¹ = 101031112099 is a prime.

It is a super-2 number, since 2×101031112101² (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 (101031112001) 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, 1653681 + ... + 1713686.

It is an arithmetic number, because the mean of its divisors is an integer number (8596890504).

Almost surely, 2^101031112101 is an apocalyptic number.

It is an amenable number.

101031112101 is a deficient number, since it is larger than the sum of its proper divisors (36519135963).

101031112101 is a wasteful number, since it uses less digits than its factorization.

101031112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367580.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101031112101 its reverse (101211130101), we get a palindrome (202242242202).

The spelling of 101031112101 in words is "one hundred one billion, thirty-one million, one hundred twelve thousand, one hundred one".