100100222201200 has 240 divisors, whose sum is σ = 263265737226912. Its totient is φ = 36350046720000.

The previous prime is 100100222201173. The next prime is 100100222201293. The reversal of 100100222201200 is 2102222001001.

It is a happy number.

It is a super-2 number, since 2×100100222201200² (a number of 29 digits) contains 22 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, 4904218995 + ... + 4904239405.

Almost surely, 2^{100100222201200} is an apocalyptic number.

100100222201200 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 100100222201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131632868613456).

100100222201200 is an abundant number, since it is smaller than the sum of its proper divisors (163165515025712).

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

100100222201200 is a wasteful number, since it uses less digits than its factorization.

100100222201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35964 (or 35953 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100100222201200 its reverse (2102222001001), we get a palindrome (102202444202201).

The spelling of 100100222201200 in words is "one hundred trillion, one hundred billion, two hundred twenty-two million, two hundred one thousand, two hundred".