10123311332101 has 32 divisors (see below), whose sum is σ = 11244869222400. Its totient is φ = 9036601704000.

The previous prime is 10123311332093. The next prime is 10123311332111.

10123311332101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10123311332101 - 2³ = 10123311332093 is a prime.

It is a super-2 number, since 2×10123311332101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123311332111) 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, 1113548566 + ... + 1113557656.

It is an arithmetic number, because the mean of its divisors is an integer number (351402163200).

Almost surely, 2^{10123311332101} is an apocalyptic number.

10123311332101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10123311332101 is a deficient number, since it is larger than the sum of its proper divisors (1121557890299).

10123311332101 is a wasteful number, since it uses less digits than its factorization.

10123311332101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16081.

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 1012331 and 1332101, that added together give a palindrome (2344432).

The spelling of 10123311332101 in words is "ten trillion, one hundred twenty-three billion, three hundred eleven million, three hundred thirty-two thousand, one hundred one".