100200221121 has 96 divisors (see below), whose sum is σ = 181294806784. Its totient is φ = 47900160000.

The previous prime is 100200221117. The next prime is 100200221123. The reversal of 100200221121 is 121122002001.

It is not a de Polignac number, because 100200221121 - 2² = 100200221117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100200221097 and 100200221106.

It is not an unprimeable number, because it can be changed into a prime (100200221123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11127621 + ... + 11136621.

Almost surely, 2^100200221121 is an apocalyptic number.

100200221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200221121 is a deficient number, since it is larger than the sum of its proper divisors (81094585663).

100200221121 is a wasteful number, since it uses less digits than its factorization.

100200221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9383 (or 9372 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100200221121 its reverse (121122002001), we get a palindrome (221322223122).

The spelling of 100200221121 in words is "one hundred billion, two hundred million, two hundred twenty-one thousand, one hundred twenty-one".