20100100002121 has 4 divisors (see below), whose sum is σ = 20100125124112. Its totient is φ = 20100074880132.

The previous prime is 20100100002107. The next prime is 20100100002167. The reversal of 20100100002121 is 12120000100102.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 20100100002121 - 2⁹ = 20100100001609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20100100002098 and 20100100002107.

It is not an unprimeable number, because it can be changed into a prime (20100100002221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11319975 + ... + 12974668.

It is an arithmetic number, because the mean of its divisors is an integer number (5025031281028).

Almost surely, 2^{20100100002121} is an apocalyptic number.

It is an amenable number.

20100100002121 is a deficient number, since it is larger than the sum of its proper divisors (25121991).

20100100002121 is an equidigital number, since it uses as much as digits as its factorization.

20100100002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25121990.

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

Adding to 20100100002121 its reverse (12120000100102), we get a palindrome (32220100102223).

The spelling of 20100100002121 in words is "twenty trillion, one hundred billion, one hundred million, two thousand, one hundred twenty-one".