2101110000102 has 24 divisors (see below), whose sum is σ = 4577556416160. Its totient is φ = 696500551440.

The previous prime is 2101110000029. The next prime is 2101110000107. The reversal of 2101110000102 is 2010000111012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101110000107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 322450702 + ... + 322457217.

It is an arithmetic number, because the mean of its divisors is an integer number (190731517340).

Almost surely, 2^{2101110000102} is an apocalyptic number.

2101110000102 is an abundant number, since it is smaller than the sum of its proper divisors (2476446416058).

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

2101110000102 is a wasteful number, since it uses less digits than its factorization.

2101110000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644908108 (or 644908105 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2101110000102 its reverse (2010000111012), we get a palindrome (4111110111114).

The spelling of 2101110000102 in words is "two trillion, one hundred one billion, one hundred ten million, one hundred two", and thus it is an aban number.