2102312312101 has 12 divisors (see below), whose sum is σ = 2134391163660. Its totient is φ = 2070708689280.

The previous prime is 2102312312099. The next prime is 2102312312119. The reversal of 2102312312101 is 1012132132012.

It can be written as a sum of positive squares in 2 ways, for example, as 1479592468225 + 622719843876 = 1216385^2 + 789126^2 .

It is not a de Polignac number, because 2102312312101 - 2¹ = 2102312312099 is a prime.

It is a super-2 number, since 2×2102312312101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102312319101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53763165 + ... + 53802253.

It is an arithmetic number, because the mean of its divisors is an integer number (177865930305).

Almost surely, 2^{2102312312101} is an apocalyptic number.

It is an amenable number.

2102312312101 is a deficient number, since it is larger than the sum of its proper divisors (32078851559).

2102312312101 is an equidigital number, since it uses as much as digits as its factorization.

2102312312101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51204 (or 51137 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2102312312101 its reverse (1012132132012), we get a palindrome (3114444444113).

The spelling of 2102312312101 in words is "two trillion, one hundred two billion, three hundred twelve million, three hundred twelve thousand, one hundred one".