100100012202101 has 8 divisors (see below), whose sum is σ = 100834172201880. Its totient is φ = 99365902970368.

The previous prime is 100100012202061. The next prime is 100100012202137. The reversal of 100100012202101 is 101202210001001.

It can be written as a sum of positive squares in 4 ways, for example, as 80730242970001 + 19369769232100 = 8985001^2 + 4401110^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100100012202101 - 2¹⁸ = 100100011939957 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 (100100012202191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8729606 + ... + 16625463.

It is an arithmetic number, because the mean of its divisors is an integer number (12604271525235).

Almost surely, 2^{100100012202101} is an apocalyptic number.

It is an amenable number.

100100012202101 is a deficient number, since it is larger than the sum of its proper divisors (734159999779).

100100012202101 is a wasteful number, since it uses less digits than its factorization.

100100012202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25384023.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100100012202101 its reverse (101202210001001), we get a palindrome (201302222203102).

The spelling of 100100012202101 in words is "one hundred trillion, one hundred billion, twelve million, two hundred two thousand, one hundred one".