101031130101 has 32 divisors (see below), whose sum is σ = 155626593408. Its totient is φ = 57618851840.

The previous prime is 101031130063. The next prime is 101031130127.

101031130101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101031130101 - 2¹⁹ = 101030605813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101031130141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4022755 + ... + 4047791.

It is an arithmetic number, because the mean of its divisors is an integer number (4863331044).

Almost surely, 2^101031130101 is an apocalyptic number.

101031130101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101031130101 is a deficient number, since it is larger than the sum of its proper divisors (54595463307).

101031130101 is a wasteful number, since it uses less digits than its factorization.

101031130101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32261.

The product of its (nonzero) digits is 9, while the sum is 12.

It can be divided in two parts, 101031 and 130101, that added together give a palindrome (231132).

The spelling of 101031130101 in words is "one hundred one billion, thirty-one million, one hundred thirty thousand, one hundred one".