100101545401 has 64 divisors (see below), whose sum is σ = 123473097216. Its totient is φ = 79924838400.

The previous prime is 100101545393. The next prime is 100101545419. The reversal of 100101545401 is 104545101001.

It is a happy number.

It is not a de Polignac number, because 100101545401 - 2³ = 100101545393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101545471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62290140 + ... + 62291746.

It is an arithmetic number, because the mean of its divisors is an integer number (1929267144).

Almost surely, 2^100101545401 is an apocalyptic number.

100101545401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101545401 is a deficient number, since it is larger than the sum of its proper divisors (23371551815).

100101545401 is a wasteful number, since it uses less digits than its factorization.

100101545401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922.

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 100101545401 its reverse (104545101001), we get a palindrome (204646646402).

Subtracting 100101545401 from its reverse (104545101001), we obtain a square (4443555600 = 66660²).

The spelling of 100101545401 in words is "one hundred billion, one hundred one million, five hundred forty-five thousand, four hundred one".