101213312101 has 24 divisors (see below), whose sum is σ = 116370159552. Its totient is φ = 87137952000.

The previous prime is 101213312059. The next prime is 101213312111.

It is a happy number.

101213312101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101213312101 - 2²⁷ = 101079094373 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 (101213312111) 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, 2561245 + ... + 2600461.

It is an arithmetic number, because the mean of its divisors is an integer number (4848756648).

Almost surely, 2^101213312101 is an apocalyptic number.

101213312101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101213312101 is a deficient number, since it is larger than the sum of its proper divisors (15156847451).

101213312101 is a wasteful number, since it uses less digits than its factorization.

101213312101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39453 (or 39352 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 101213 and 312101, that added together give a palindrome (413314).

The spelling of 101213312101 in words is "one hundred one billion, two hundred thirteen million, three hundred twelve thousand, one hundred one".