101004440043100 has 72 divisors (see below), whose sum is σ = 239114648839248. Its totient is φ = 36727413772800.

The previous prime is 101004440042993. The next prime is 101004440043107. The reversal of 101004440043100 is 1340044400101.

It is a super-2 number, since 2×101004440043100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101004440043107) 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, 25777354 + ... + 29436046.

It is an arithmetic number, because the mean of its divisors is an integer number (3321036789434).

Almost surely, 2^{101004440043100} is an apocalyptic number.

101004440043100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101004440043100 is an abundant number, since it is smaller than the sum of its proper divisors (138110208796148).

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

101004440043100 is a wasteful number, since it uses less digits than its factorization.

101004440043100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683815 (or 3683808 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 101004440043100 its reverse (1340044400101), we get a palindrome (102344484443201).

The spelling of 101004440043100 in words is "one hundred one trillion, four billion, four hundred forty million, forty-three thousand, one hundred".