101013044422440 has 64 divisors (see below), whose sum is σ = 313488758563200. Its totient is φ = 26007956264192.

The previous prime is 101013044422361. The next prime is 101013044422447. The reversal of 101013044422440 is 44224440310101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101013044422398 and 101013044422407.

It is not an unprimeable number, because it can be changed into a prime (101013044422447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14513364972 + ... + 14513371931.

It is an arithmetic number, because the mean of its divisors is an integer number (4898261852550).

Almost surely, 2^{101013044422440} is an apocalyptic number.

101013044422440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101013044422440 is an abundant number, since it is smaller than the sum of its proper divisors (212475714140760).

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

101013044422440 is a wasteful number, since it uses less digits than its factorization.

101013044422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29026736946 (or 29026736942 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 101013044422440 its reverse (44224440310101), we get a palindrome (145237484732541).

The spelling of 101013044422440 in words is "one hundred one trillion, thirteen billion, forty-four million, four hundred twenty-two thousand, four hundred forty".