101130031101 has 24 divisors (see below), whose sum is σ = 148241574432. Its totient is φ = 61278949600.

The previous prime is 101130031091. The next prime is 101130031129.

101130031101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101130031101 - 2¹¹ = 101130029053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101130031181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2050906 + ... + 2099636.

It is an arithmetic number, because the mean of its divisors is an integer number (6176732268).

Almost surely, 2^101130031101 is an apocalyptic number.

101130031101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101130031101 is a deficient number, since it is larger than the sum of its proper divisors (47111543331).

101130031101 is a wasteful number, since it uses less digits than its factorization.

101130031101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54473 (or 54462 counting only the distinct ones).

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

It can be divided in two parts, 1011300 and 31101, that added together give a palindrome (1042401).

The spelling of 101130031101 in words is "one hundred one billion, one hundred thirty million, thirty-one thousand, one hundred one".