100400102001 has 48 divisors (see below), whose sum is σ = 157297690368. Its totient is φ = 61468070400.

The previous prime is 100400101981. The next prime is 100400102017. The reversal of 100400102001 is 100201004001.

It is a happy number.

It is not a de Polignac number, because 100400102001 - 2⁷ = 100400101873 is a prime.

It is a super-2 number, since 2×100400102001² (a number of 23 digits) contains 22 as substring.

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 (100400102401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2359131 + ... + 2401311.

It is an arithmetic number, because the mean of its divisors is an integer number (3277035216).

Almost surely, 2^100400102001 is an apocalyptic number.

It is an amenable number.

100400102001 is a deficient number, since it is larger than the sum of its proper divisors (56897588367).

100400102001 is a wasteful number, since it uses less digits than its factorization.

100400102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42582 (or 42579 counting only the distinct ones).

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

Adding to 100400102001 its reverse (100201004001), we get a palindrome (200601106002).

The spelling of 100400102001 in words is "one hundred billion, four hundred million, one hundred two thousand, one".