1210112102101 has 24 divisors (see below), whose sum is σ = 1411601050584. Its totient is φ = 1034354280960.

The previous prime is 1210112102053. The next prime is 1210112102159. The reversal of 1210112102101 is 1012012110121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 348465896100 + 861646206001 = 590310^2 + 928249^2 .

It is not a de Polignac number, because 1210112102101 - 2⁹ = 1210112101589 is a prime.

It is a super-2 number, since 2×1210112102101² (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 (1210112102701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30436231 + ... + 30475963.

It is an arithmetic number, because the mean of its divisors is an integer number (58816710441).

Almost surely, 2^{1210112102101} is an apocalyptic number.

It is an amenable number.

1210112102101 is a deficient number, since it is larger than the sum of its proper divisors (201488948483).

1210112102101 is a wasteful number, since it uses less digits than its factorization.

1210112102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41461 (or 41454 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1210112102101 its reverse (1012012110121), we get a palindrome (2222124212222).

The spelling of 1210112102101 in words is "one trillion, two hundred ten billion, one hundred twelve million, one hundred two thousand, one hundred one".