101042004400 has 60 divisors (see below), whose sum is σ = 242890828000. Its totient is φ = 40393923840.

The previous prime is 101042004391. The next prime is 101042004403. The reversal of 101042004400 is 4400240101.

101042004400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101042004403) 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, 645001 + ... + 786199.

Almost surely, 2^101042004400 is an apocalyptic number.

101042004400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101042004400 is an abundant number, since it is smaller than the sum of its proper divisors (141848823600).

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

101042004400 is a wasteful number, since it uses less digits than its factorization.

101042004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143006 (or 142995 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 101042004400 its reverse (4400240101), we get a palindrome (105442244501).

The spelling of 101042004400 in words is "one hundred one billion, forty-two million, four thousand, four hundred".