12201100102191 has 32 divisors (see below), whose sum is σ = 21842528859648. Its totient is φ = 5850677370240.

The previous prime is 12201100102123. The next prime is 12201100102201. The reversal of 12201100102191 is 19120100110221.

12201100102191 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12201100102191 - 2²⁶ = 12201032993327 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201100102591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2031482196 + ... + 2031488201.

It is an arithmetic number, because the mean of its divisors is an integer number (682579026864).

Almost surely, 2^{12201100102191} is an apocalyptic number.

12201100102191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12201100102191 is a deficient number, since it is larger than the sum of its proper divisors (9641428757457).

12201100102191 is a wasteful number, since it uses less digits than its factorization.

12201100102191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062970431.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 12201100102191 in words is "twelve trillion, two hundred one billion, one hundred million, one hundred two thousand, one hundred ninety-one".