2100210313344 has 256 divisors, whose sum is σ = 6556833360000. Its totient is φ = 587215503360.

The previous prime is 2100210313343. The next prime is 2100210313351. The reversal of 2100210313344 is 4433130120012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2100210313343) 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, 150946132 + ... + 150960044.

Almost surely, 2^{2100210313344} is an apocalyptic number.

2100210313344 is a gapful number since it is divisible by the number (24) 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 2100210313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278416680000).

2100210313344 is an abundant number, since it is smaller than the sum of its proper divisors (4456623046656).

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

2100210313344 is a wasteful number, since it uses less digits than its factorization.

2100210313344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16703 (or 16691 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2100210313344 its reverse (4433130120012), we get a palindrome (6533340433356).

The spelling of 2100210313344 in words is "two trillion, one hundred billion, two hundred ten million, three hundred thirteen thousand, three hundred forty-four".