2106191102301 has 512 divisors, whose sum is σ = 4312988467200. Its totient is φ = 993257717760.

The previous prime is 2106191102287. The next prime is 2106191102311. The reversal of 2106191102301 is 1032011916012.

It is a happy number.

2106191102301 is a `hidden beast` number, since 2 + 1 + 0 + 619 + 1 + 10 + 2 + 30 + 1 = 666.

It is not a de Polignac number, because 2106191102301 - 2¹¹ = 2106191100253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106191102311) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2782286415 + ... + 2782287171.

It is an arithmetic number, because the mean of its divisors is an integer number (8423805600).

Almost surely, 2^{2106191102301} is an apocalyptic number.

It is an amenable number.

2106191102301 is an abundant number, since it is smaller than the sum of its proper divisors (2206797364899).

2106191102301 is a wasteful number, since it uses less digits than its factorization.

2106191102301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 2106191102301 in words is "two trillion, one hundred six billion, one hundred ninety-one million, one hundred two thousand, three hundred one".