100110222100 has 108 divisors (see below), whose sum is σ = 254184710304. Its totient is φ = 33524850240.

The previous prime is 100110222061. The next prime is 100110222101. The reversal of 100110222100 is 1222011001.

It is a super-2 number, since 2×100110222100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110222101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1255627 + ... + 1332973.

Almost surely, 2^100110222100 is an apocalyptic number.

100110222100 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 100110222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127092355152).

100110222100 is an abundant number, since it is smaller than the sum of its proper divisors (154074488204).

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

100110222100 is a wasteful number, since it uses less digits than its factorization.

100110222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77454 (or 77404 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100110222100 its reverse (1222011001), we get a palindrome (101332233101).

The spelling of 100110222100 in words is "one hundred billion, one hundred ten million, two hundred twenty-two thousand, one hundred".