2002102010101 has 8 divisors (see below), whose sum is σ = 2027558419200. Its totient is φ = 1976648434800.

The previous prime is 2002102010087. The next prime is 2002102010113. The reversal of 2002102010101 is 1010102012002.

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

It is a cyclic number.

It is not a de Polignac number, because 2002102010101 - 2²⁵ = 2002068455669 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 (2002102010191) 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, 732051 + ... + 2130751.

It is an arithmetic number, because the mean of its divisors is an integer number (253444802400).

Almost surely, 2^{2002102010101} is an apocalyptic number.

It is an amenable number.

2002102010101 is a deficient number, since it is larger than the sum of its proper divisors (25456409099).

2002102010101 is a wasteful number, since it uses less digits than its factorization.

2002102010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416899.

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

Adding to 2002102010101 its reverse (1010102012002), we get a palindrome (3012204022103).

The spelling of 2002102010101 in words is "two trillion, two billion, one hundred two million, ten thousand, one hundred one".