2010102002101 has 4 divisors (see below), whose sum is σ = 2010126884832. Its totient is φ = 2010077119372.

The previous prime is 2010102002021. The next prime is 2010102002149. The reversal of 2010102002101 is 1012002010102.

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 2010102002101 - 2²⁷ = 2009967784373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010102002171) 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, 12319795 + ... + 12481888.

It is an arithmetic number, because the mean of its divisors is an integer number (502531721208).

Almost surely, 2^{2010102002101} is an apocalyptic number.

It is an amenable number.

2010102002101 is a deficient number, since it is larger than the sum of its proper divisors (24882731).

2010102002101 is an equidigital number, since it uses as much as digits as its factorization.

2010102002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24882730.

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

Adding to 2010102002101 its reverse (1012002010102), we get a palindrome (3022104012203).

The spelling of 2010102002101 in words is "two trillion, ten billion, one hundred two million, two thousand, one hundred one".