100120401 has 32 divisors (see below), whose sum is σ = 153216000. Its totient is φ = 64575360.

The previous prime is 100120379. The next prime is 100120411. The reversal of 100120401 is 104021001.

It is a happy number.

It is not a de Polignac number, because 100120401 - 2⁵ = 100120369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100120411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164640 + ... + 165246.

It is an arithmetic number, because the mean of its divisors is an integer number (4788000).

Almost surely, 2^100120401 is an apocalyptic number.

It is an amenable number.

100120401 is a deficient number, since it is larger than the sum of its proper divisors (53095599).

100120401 is a wasteful number, since it uses less digits than its factorization.

100120401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100120401 is about 10006.0182390399. The cubic root of 100120401 is about 464.3450926277.

Adding to 100120401 its reverse (104021001), we get a palindrome (204141402).

The spelling of 100120401 in words is "one hundred million, one hundred twenty thousand, four hundred one".