100120022000 has 80 divisors (see below), whose sum is σ = 242378153472. Its totient is φ = 40000377600.

The previous prime is 100120021993. The next prime is 100120022011. The reversal of 100120022000 is 220021001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1676657 + ... + 1735343.

Almost surely, 2^100120022000 is an apocalyptic number.

100120022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121189076736).

100120022000 is an abundant number, since it is smaller than the sum of its proper divisors (142258131472).

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

100120022000 is an equidigital number, since it uses as much as digits as its factorization.

100120022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59563 (or 59547 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 100120022000 its reverse (220021001), we get a palindrome (100340043001).

Subtracting from 100120022000 its reverse (220021001), we obtain a palindrome (99900000999).

The spelling of 100120022000 in words is "one hundred billion, one hundred twenty million, twenty-two thousand".