10212101010000 has 600 divisors, whose sum is σ = 36721937018624. Its totient is φ = 2646483840000.

The previous prime is 10212101009993. The next prime is 10212101010053. The reversal of 10212101010000 is 1010121201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4418908845 + ... + 4418911155.

Almost surely, 2^{10212101010000} is an apocalyptic number.

10212101010000 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 10212101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360968509312).

10212101010000 is an abundant number, since it is smaller than the sum of its proper divisors (26509836008624).

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

10212101010000 is a wasteful number, since it uses less digits than its factorization.

10212101010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10212101010000 its reverse (1010121201), we get a palindrome (10213111131201).

The spelling of 10212101010000 in words is "ten trillion, two hundred twelve billion, one hundred one million, ten thousand".