10130111103101 has 32 divisors (see below), whose sum is σ = 11548502294400. Its totient is φ = 8801236442880.

The previous prime is 10130111103097. The next prime is 10130111103131.

10130111103101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10130111103101 - 2² = 10130111103097 is a prime.

It is a super-2 number, since 2×10130111103101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130111103131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41280995 + ... + 41525663.

It is an arithmetic number, because the mean of its divisors is an integer number (360890696700).

Almost surely, 2^{10130111103101} is an apocalyptic number.

10130111103101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10130111103101 is a deficient number, since it is larger than the sum of its proper divisors (1418391191299).

10130111103101 is a wasteful number, since it uses less digits than its factorization.

10130111103101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246029.

The product of its (nonzero) digits is 9, while the sum is 14.

It can be divided in two parts, 1013011 and 1103101, that added together give a palindrome (2116112).

The spelling of 10130111103101 in words is "ten trillion, one hundred thirty billion, one hundred eleven million, one hundred three thousand, one hundred one".