2102100100212 has 192 divisors, whose sum is σ = 5865660416000. Its totient is φ = 573282178560.

The previous prime is 2102100100189. The next prime is 2102100100253. The reversal of 2102100100212 is 2120010012012.

It is a super-2 number, since 2×2102100100212² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224842914 + ... + 224852262.

Almost surely, 2^{2102100100212} 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 2102100100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932830208000).

2102100100212 is an abundant number, since it is smaller than the sum of its proper divisors (3763560315788).

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

2102100100212 is a wasteful number, since it uses less digits than its factorization.

2102100100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10566 (or 10564 counting only the distinct ones).

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

Adding to 2102100100212 its reverse (2120010012012), we get a palindrome (4222110112224).

The spelling of 2102100100212 in words is "two trillion, one hundred two billion, one hundred million, one hundred thousand, two hundred twelve".