100431412101 has 24 divisors (see below), whose sum is σ = 151856340480. Its totient is φ = 63881848800.

The previous prime is 100431412073. The next prime is 100431412121. The reversal of 100431412101 is 101214134001.

It is not a de Polignac number, because 100431412101 - 2⁵ = 100431412069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100431412121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2515186 + ... + 2554803.

It is an arithmetic number, because the mean of its divisors is an integer number (6327347520).

Almost surely, 2^100431412101 is an apocalyptic number.

It is an amenable number.

100431412101 is a deficient number, since it is larger than the sum of its proper divisors (51424928379).

100431412101 is a wasteful number, since it uses less digits than its factorization.

100431412101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5070097 (or 5070094 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100431412101 its reverse (101214134001), we get a palindrome (201645546102).

The spelling of 100431412101 in words is "one hundred billion, four hundred thirty-one million, four hundred twelve thousand, one hundred one".