10123211232101 has 32 divisors (see below), whose sum is σ = 12202020569088. Its totient is φ = 8284639517440.

The previous prime is 10123211231857. The next prime is 10123211232217.

10123211232101 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-10123211232101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123291232101) 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, 208070960 + ... + 208119606.

It is an arithmetic number, because the mean of its divisors is an integer number (381313142784).

Almost surely, 2^{10123211232101} is an apocalyptic number.

10123211232101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10123211232101 is a deficient number, since it is larger than the sum of its proper divisors (2078809336987).

10123211232101 is a wasteful number, since it uses less digits than its factorization.

10123211232101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97081.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 1012321 and 1232101, that added together give a palindrome (2244422).

The spelling of 10123211232101 in words is "ten trillion, one hundred twenty-three billion, two hundred eleven million, two hundred thirty-two thousand, one hundred one".