101110400001 has 24 divisors (see below), whose sum is σ = 159861263016. Its totient is φ = 61201751040.

The previous prime is 101110399961. The next prime is 101110400023. The reversal of 101110400001 is 100004011101.

It can be written as a sum of positive squares in 4 ways, for example, as 1491890625 + 99618509376 = 38625^2 + 315624^2 .

It is not a de Polignac number, because 101110400001 - 2³³ = 92520465409 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 (101110400071) 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, 7076400 + ... + 7090673.

It is an arithmetic number, because the mean of its divisors is an integer number (6660885959).

Almost surely, 2^101110400001 is an apocalyptic number.

It is an amenable number.

101110400001 is a deficient number, since it is larger than the sum of its proper divisors (58750863015).

101110400001 is a wasteful number, since it uses less digits than its factorization.

101110400001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14167153 (or 14167150 counting only the distinct ones).

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

Adding to 101110400001 its reverse (100004011101), we get a palindrome (201114411102).

The spelling of 101110400001 in words is "one hundred one billion, one hundred ten million, four hundred thousand, one".