100401111 has 24 divisors (see below), whose sum is σ = 154255920. Its totient is φ = 62747136.

The previous prime is 100401107. The next prime is 100401121. The reversal of 100401111 is 111104001.

It is not a de Polignac number, because 100401111 - 2² = 100401107 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100401093 and 100401102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100401101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13561 + ... + 19613.

It is an arithmetic number, because the mean of its divisors is an integer number (6427330).

Almost surely, 2^100401111 is an apocalyptic number.

100401111 is a deficient number, since it is larger than the sum of its proper divisors (53854809).

100401111 is a wasteful number, since it uses less digits than its factorization.

100401111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6175 (or 6172 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 100401111 is about 10020.0354789791. The cubic root of 100401111 is about 464.7786528901.

Adding to 100401111 its reverse (111104001), we get a palindrome (211505112).

The spelling of 100401111 in words is "one hundred million, four hundred one thousand, one hundred eleven".