2102100012012 has 192 divisors, whose sum is σ = 6640031075328. Its totient is φ = 503999654400.

The previous prime is 2102100011989. The next prime is 2102100012053.

2102100012012 is nontrivially palindromic in base 10.

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

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, 730312 + ... + 2176592.

It is an arithmetic number, because the mean of its divisors is an integer number (34583495184).

Almost surely, 2^{2102100012012} is an apocalyptic number.

2102100012012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102100012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320015537664).

2102100012012 is an abundant number, since it is smaller than the sum of its proper divisors (4537931063316).

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

2102100012012 is a wasteful number, since it uses less digits than its factorization.

2102100012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446341 (or 1446317 counting only the distinct ones).

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

It can be divided in two parts, 21021000 and 12012, that added together give a palindrome (21033012).

The spelling of 2102100012012 in words is "two trillion, one hundred two billion, one hundred million, twelve thousand, twelve".