100200221000121 has 16 divisors (see below), whose sum is σ = 146950286551488. Its totient is φ = 60727406664320.

The previous prime is 100200221000083. The next prime is 100200221000161. The reversal of 100200221000121 is 121000122002001.

It is not a de Polignac number, because 100200221000121 - 2⁶ = 100200221000057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100200221000097 and 100200221000106.

It is not an unprimeable number, because it can be changed into a prime (100200221000161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12546980856 + ... + 12546988841.

It is an arithmetic number, because the mean of its divisors is an integer number (9184392909468).

Almost surely, 2^{100200221000121} is an apocalyptic number.

100200221000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200221000121 is a deficient number, since it is larger than the sum of its proper divisors (46750065551367).

100200221000121 is an equidigital number, since it uses as much as digits as its factorization.

100200221000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25093969733 (or 25093969711 counting only the distinct ones).

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

Adding to 100200221000121 its reverse (121000122002001), we get a palindrome (221200343002122).

The spelling of 100200221000121 in words is "one hundred trillion, two hundred billion, two hundred twenty-one million, one hundred twenty-one", and thus it is an aban number.