2102101000212 has 96 divisors (see below), whose sum is σ = 5277868646400. Its totient is φ = 649086210432.

The previous prime is 2102101000169. The next prime is 2102101000217. The reversal of 2102101000212 is 2120001012012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102101000217) 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, 11363653 + ... + 11547155.

It is an arithmetic number, because the mean of its divisors is an integer number (54977798400).

Almost surely, 2^{2102101000212} 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 2102101000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638934323200).

2102101000212 is an abundant number, since it is smaller than the sum of its proper divisors (3175767646188).

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

2102101000212 is a wasteful number, since it uses less digits than its factorization.

2102101000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184645 (or 184643 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2102101000212 its reverse (2120001012012), we get a palindrome (4222102012224).

The spelling of 2102101000212 in words is "two trillion, one hundred two billion, one hundred one million, two hundred twelve", and thus it is an aban number.