10100210120000 has 560 divisors, whose sum is σ = 33627306717312. Its totient is φ = 2905943040000.

The previous prime is 10100210119957. The next prime is 10100210120113. The reversal of 10100210120000 is 2101200101.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10100210120000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39913874 + ... + 40166126.

Almost surely, 2^{10100210120000} is an apocalyptic number.

10100210120000 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 10100210120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16813653358656).

10100210120000 is an abundant number, since it is smaller than the sum of its proper divisors (23527096597312).

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

10100210120000 is a wasteful number, since it uses less digits than its factorization.

10100210120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252316 (or 252291 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100210120000 its reverse (2101200101), we get a palindrome (10102311320101).

The spelling of 10100210120000 in words is "ten trillion, one hundred billion, two hundred ten million, one hundred twenty thousand".