101413044200 has 48 divisors (see below), whose sum is σ = 253922667180. Its totient is φ = 37444815360.

The previous prime is 101413044169. The next prime is 101413044241. The reversal of 101413044200 is 2440314101.

101413044200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1409101444 + 100003942756 = 37538^2 + 316234^2 .

It is a super-2 number, since 2×101413044200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19499909 + ... + 19505108.

Almost surely, 2^101413044200 is an apocalyptic number.

101413044200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101413044200 is an abundant number, since it is smaller than the sum of its proper divisors (152509622980).

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

101413044200 is a wasteful number, since it uses less digits than its factorization.

101413044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39005046 (or 39005037 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101413044200 its reverse (2440314101), we get a palindrome (103853358301).

The spelling of 101413044200 in words is "one hundred one billion, four hundred thirteen million, forty-four thousand, two hundred".