2100102200101 has 4 divisors (see below), whose sum is σ = 2100401409600. Its totient is φ = 2099802990604.

The previous prime is 2100102200093. The next prime is 2100102200137. The reversal of 2100102200101 is 1010022010012.

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 2100102200101 - 2³ = 2100102200093 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 (2100102200171) 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, 149594221 + ... + 149608258.

It is an arithmetic number, because the mean of its divisors is an integer number (525100352400).

Almost surely, 2^{2100102200101} is an apocalyptic number.

It is an amenable number.

2100102200101 is a deficient number, since it is larger than the sum of its proper divisors (299209499).

2100102200101 is an equidigital number, since it uses as much as digits as its factorization.

2100102200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299209498.

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

Adding to 2100102200101 its reverse (1010022010012), we get a palindrome (3110124210113).

It can be divided in two parts, 2100 and 102200101, that added together give a palindrome (102202201).

The spelling of 2100102200101 in words is "two trillion, one hundred billion, one hundred two million, two hundred thousand, one hundred one".