100114401004221 has 64 divisors (see below), whose sum is σ = 144086071449600. Its totient is φ = 61611081394176.

The previous prime is 100114401004193. The next prime is 100114401004229. The reversal of 100114401004221 is 122400104411001.

It is a de Polignac number, because none of the positive numbers 2^k-100114401004221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100114401004229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192710265 + ... + 193229073.

It is an arithmetic number, because the mean of its divisors is an integer number (2251344866400).

Almost surely, 2^{100114401004221} is an apocalyptic number.

It is an amenable number.

100114401004221 is a deficient number, since it is larger than the sum of its proper divisors (43971670445379).

100114401004221 is a wasteful number, since it uses less digits than its factorization.

100114401004221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519298.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 100114401004221 its reverse (122400104411001), we get a palindrome (222514505415222).

The spelling of 100114401004221 in words is "one hundred trillion, one hundred fourteen billion, four hundred one million, four thousand, two hundred twenty-one".