12211010102120 has 64 divisors (see below), whose sum is σ = 28081099751040. Its totient is φ = 4777777888000.

The previous prime is 12211010102099. The next prime is 12211010102141. The reversal of 12211010102120 is 2120101011221.

12211010102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12211010102099) and next prime (12211010102141).

It is a junction number, because it is equal to n+sod(n) for n = 12211010102095 and 12211010102104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17872676 + ... + 18543315.

It is an arithmetic number, because the mean of its divisors is an integer number (438767183610).

Almost surely, 2^{12211010102120} is an apocalyptic number.

12211010102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211010102120 is an abundant number, since it is smaller than the sum of its proper divisors (15870089648920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12211010102120 is a wasteful number, since it uses less digits than its factorization.

12211010102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36416186 (or 36416182 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12211010102120 its reverse (2120101011221), we get a palindrome (14331111113341).

The spelling of 12211010102120 in words is "twelve trillion, two hundred eleven billion, ten million, one hundred two thousand, one hundred twenty".