101210121004031 has 16 divisors (see below), whose sum is σ = 111315241699200. Its totient is φ = 91436413893888.

The previous prime is 101210121004007. The next prime is 101210121004063. The reversal of 101210121004031 is 130400121012101.

It is a cyclic number.

It is not a de Polignac number, because 101210121004031 - 2³⁰ = 101209047262207 is a prime.

It is a super-2 number, since 2×101210121004031² (a number of 29 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 (101210121004231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127234685 + ... + 128027673.

It is an arithmetic number, because the mean of its divisors is an integer number (6957202606200).

Almost surely, 2^{101210121004031} is an apocalyptic number.

101210121004031 is a deficient number, since it is larger than the sum of its proper divisors (10105120695169).

101210121004031 is a wasteful number, since it uses less digits than its factorization.

101210121004031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001938.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101210121004031 its reverse (130400121012101), we get a palindrome (231610242016132).

The spelling of 101210121004031 in words is "one hundred one trillion, two hundred ten billion, one hundred twenty-one million, four thousand, thirty-one".