100202022111100 has 144 divisors (see below), whose sum is σ = 267670261562368. Its totient is φ = 31705914965760.

The previous prime is 100202022111089. The next prime is 100202022111197. The reversal of 100202022111100 is 1111220202001.

It is a super-4 number, since 4×100202022111100⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44277709 + ... + 46485691.

Almost surely, 2^{100202022111100} is an apocalyptic number.

100202022111100 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 100202022111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133835130781184).

100202022111100 is an abundant number, since it is smaller than the sum of its proper divisors (167468239451268).

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

100202022111100 is a wasteful number, since it uses less digits than its factorization.

100202022111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213004 (or 2212997 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100202022111100 its reverse (1111220202001), we get a palindrome (101313242313101).

The spelling of 100202022111100 in words is "one hundred trillion, two hundred two billion, twenty-two million, one hundred eleven thousand, one hundred".