10100002212300 has 432 divisors, whose sum is σ = 39451634433792. Its totient is φ = 1937262412800.

The previous prime is 10100002212199. The next prime is 10100002212319. The reversal of 10100002212300 is 321220000101.

10100002212300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 2610322 + ... + 5197478.

It is an arithmetic number, because the mean of its divisors is an integer number (91323227856).

Almost surely, 2^{10100002212300} is an apocalyptic number.

10100002212300 is a gapful number since it is divisible by the number (10) 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 10100002212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19725817216896).

10100002212300 is an abundant number, since it is smaller than the sum of its proper divisors (29351632221492).

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

10100002212300 is a wasteful number, since it uses less digits than its factorization.

10100002212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587218 (or 2587198 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10100002212300 its reverse (321220000101), we get a palindrome (10421222212401).

The spelling of 10100002212300 in words is "ten trillion, one hundred billion, two million, two hundred twelve thousand, three hundred".