101022214440 has 128 divisors (see below), whose sum is σ = 355723119360. Its totient is φ = 22466709504.

The previous prime is 101022214343. The next prime is 101022214453. The reversal of 101022214440 is 44412220101.

101022214440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101022214440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1594117 + ... + 1656276.

It is an arithmetic number, because the mean of its divisors is an integer number (2779086870).

Almost surely, 2^101022214440 is an apocalyptic number.

101022214440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022214440 is an abundant number, since it is smaller than the sum of its proper divisors (254700904920).

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

101022214440 is a wasteful number, since it uses less digits than its factorization.

101022214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250451 (or 3250447 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 101022214440 its reverse (44412220101), we get a palindrome (145434434541).

The spelling of 101022214440 in words is "one hundred one billion, twenty-two million, two hundred fourteen thousand, four hundred forty".