100102002121 has 8 divisors (see below), whose sum is σ = 109205743104. Its totient is φ = 90998854320.

The previous prime is 100102002079. The next prime is 100102002137. The reversal of 100102002121 is 121200201001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100102002121 - 2⁹ = 100102001609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102002098 and 100102002107.

It is not an unprimeable number, because it can be changed into a prime (100102002421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251416 + ... + 513238.

It is an arithmetic number, because the mean of its divisors is an integer number (13650717888).

Almost surely, 2^100102002121 is an apocalyptic number.

100102002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100102002121 is a deficient number, since it is larger than the sum of its proper divisors (9103740983).

100102002121 is a wasteful number, since it uses less digits than its factorization.

100102002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296591.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100102002121 its reverse (121200201001), we get a palindrome (221302203122).

The spelling of 100102002121 in words is "one hundred billion, one hundred two million, two thousand, one hundred twenty-one".