2101000111092 has 144 divisors (see below), whose sum is σ = 5584221586944. Its totient is φ = 665175456000.

The previous prime is 2101000111079. The next prime is 2101000111103. The reversal of 2101000111092 is 2901110001012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31349563 + ... + 31416509.

It is an arithmetic number, because the mean of its divisors is an integer number (38779316576).

Almost surely, 2^{2101000111092} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101000111092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792110793472).

2101000111092 is an abundant number, since it is smaller than the sum of its proper divisors (3483221475852).

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

2101000111092 is a wasteful number, since it uses less digits than its factorization.

2101000111092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67510 (or 67505 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 2101000111092 in words is "two trillion, one hundred one billion, one hundred eleven thousand, ninety-two".