2101006200111 has 64 divisors (see below), whose sum is σ = 3721768888320. Its totient is φ = 1023486266880.

The previous prime is 2101006200079. The next prime is 2101006200133. The reversal of 2101006200111 is 1110026001012.

It is a happy number.

It is not a de Polignac number, because 2101006200111 - 2⁵ = 2101006200079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101006200191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5587020 + ... + 5951201.

It is an arithmetic number, because the mean of its divisors is an integer number (58152638880).

Almost surely, 2^{2101006200111} is an apocalyptic number.

2101006200111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2101006200111 is a deficient number, since it is larger than the sum of its proper divisors (1620762688209).

2101006200111 is a wasteful number, since it uses less digits than its factorization.

2101006200111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11538296.

The product of its (nonzero) digits is 24, while the sum is 15.

The spelling of 2101006200111 in words is "two trillion, one hundred one billion, six million, two hundred thousand, one hundred eleven".