100200221002100 has 18 divisors (see below), whose sum is σ = 217434479574774. Its totient is φ = 40080088400800.

The previous prime is 100200221002093. The next prime is 100200221002103. The reversal of 100200221002100 is 1200122002001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 18458483044 + 100181762519056 = 135862^2 + 10009084^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200221002103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501001104911 + ... + 501001105110.

Almost surely, 2^{100200221002100} is an apocalyptic number.

100200221002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200221002100 is an abundant number, since it is smaller than the sum of its proper divisors (117234258572674).

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

100200221002100 is a wasteful number, since it uses less digits than its factorization.

100200221002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002002210035 (or 1002002210028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100200221002100 its reverse (1200122002001), we get a palindrome (101400343004101).

Subtracting from 100200221002100 its reverse (1200122002001), we obtain a palindrome (99000099000099).

The spelling of 100200221002100 in words is "one hundred trillion, two hundred billion, two hundred twenty-one million, two thousand, one hundred".