100414400021 has 16 divisors (see below), whose sum is σ = 114555967344. Its totient is φ = 87194962944.

The previous prime is 100414399973. The next prime is 100414400027. The reversal of 100414400021 is 120004414001.

It can be written as a sum of positive squares in 8 ways, for example, as 3848837521 + 96565562500 = 62039^2 + 310750^2 .

It is a cyclic number.

It is not a de Polignac number, because 100414400021 - 2²² = 100410205717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100414400027) 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, 343055 + ... + 564371.

It is an arithmetic number, because the mean of its divisors is an integer number (7159747959).

Almost surely, 2^100414400021 is an apocalyptic number.

It is an amenable number.

100414400021 is a deficient number, since it is larger than the sum of its proper divisors (14141567323).

100414400021 is a wasteful number, since it uses less digits than its factorization.

100414400021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223400.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 100414400021 its reverse (120004414001), we get a palindrome (220418814022).

The spelling of 100414400021 in words is "one hundred billion, four hundred fourteen million, four hundred thousand, twenty-one".