101413404100 has 36 divisors (see below), whose sum is σ = 220082546628. Its totient is φ = 40562512000.

The previous prime is 101413404073. The next prime is 101413404109. The reversal of 101413404100 is 1404314101.

It can be written as a sum of positive squares in 6 ways, for example, as 20985578496 + 80427825604 = 144864^2 + 283598^2 .

It is a super-2 number, since 2×101413404100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101413404109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1940310 + ... + 1991890.

It is an arithmetic number, because the mean of its divisors is an integer number (6113404073).

Almost surely, 2^101413404100 is an apocalyptic number.

101413404100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101413404100 is an abundant number, since it is smaller than the sum of its proper divisors (118669142528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101413404100 is a wasteful number, since it uses less digits than its factorization.

101413404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71256 (or 71249 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 101413404100 its reverse (1404314101), we get a palindrome (102817718201).

The spelling of 101413404100 in words is "one hundred one billion, four hundred thirteen million, four hundred four thousand, one hundred".