100202021221100 has 72 divisors (see below), whose sum is σ = 222768773656800. Its totient is φ = 39098485670400.

The previous prime is 100202021221091. The next prime is 100202021221177. The reversal of 100202021221100 is 1122120202001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32425121 + ... + 35380679.

Almost surely, 2^{100202021221100} is an apocalyptic number.

100202021221100 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 100202021221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111384386828400).

100202021221100 is an abundant number, since it is smaller than the sum of its proper divisors (122566752435700).

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

100202021221100 is a wasteful number, since it uses less digits than its factorization.

100202021221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963883 (or 2963876 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100202021221100 its reverse (1122120202001), we get a palindrome (101324141423101).

The spelling of 100202021221100 in words is "one hundred trillion, two hundred two billion, twenty-one million, two hundred twenty-one thousand, one hundred".