100120022413224 has 128 divisors (see below), whose sum is σ = 273530711134080. Its totient is φ = 30286534553600.

The previous prime is 100120022413219. The next prime is 100120022413237. The reversal of 100120022413224 is 422314220021001.

It is a super-2 number, since 2×100120022413224² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100120022413194 and 100120022413203.

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, 473425012 + ... + 473636444.

It is an arithmetic number, because the mean of its divisors is an integer number (2136958680735).

Almost surely, 2^{100120022413224} is an apocalyptic number.

It is an amenable number.

100120022413224 is an abundant number, since it is smaller than the sum of its proper divisors (173410688720856).

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

100120022413224 is a wasteful number, since it uses less digits than its factorization.

100120022413224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214571 (or 214567 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100120022413224 its reverse (422314220021001), we get a palindrome (522434242434225).

The spelling of 100120022413224 in words is "one hundred trillion, one hundred twenty billion, twenty-two million, four hundred thirteen thousand, two hundred twenty-four".