12100012202101 has 48 divisors (see below), whose sum is σ = 14011190265600. Its totient is φ = 10404551678976.

The previous prime is 12100012202021. The next prime is 12100012202123. The reversal of 12100012202101 is 10120221000121.

It is not a de Polignac number, because 12100012202101 - 2⁴¹ = 9900988946549 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 (12100012202141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20557185 + ... + 21137593.

It is an arithmetic number, because the mean of its divisors is an integer number (291899797200).

Almost surely, 2^{12100012202101} is an apocalyptic number.

It is an amenable number.

12100012202101 is a deficient number, since it is larger than the sum of its proper divisors (1911178063499).

12100012202101 is a wasteful number, since it uses less digits than its factorization.

12100012202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580586 (or 580567 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12100012202101 its reverse (10120221000121), we get a palindrome (22220233202222).

The spelling of 12100012202101 in words is "twelve trillion, one hundred billion, twelve million, two hundred two thousand, one hundred one".