101144104200040 has 64 divisors (see below), whose sum is σ = 248269110264000. Its totient is φ = 36778739581440.

The previous prime is 101144104200019. The next prime is 101144104200133. The reversal of 101144104200040 is 40002401441101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101144104199984 and 101144104200020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14531316 + ... + 20333404.

It is an arithmetic number, because the mean of its divisors is an integer number (3879204847875).

Almost surely, 2^{101144104200040} is an apocalyptic number.

101144104200040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101144104200040 is an abundant number, since it is smaller than the sum of its proper divisors (147125006063960).

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

101144104200040 is a wasteful number, since it uses less digits than its factorization.

101144104200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841730 (or 5841726 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 101144104200040 its reverse (40002401441101), we get a palindrome (141146505641141).

The spelling of 101144104200040 in words is "one hundred one trillion, one hundred forty-four billion, one hundred four million, two hundred thousand, forty".