212202202102000 has 320 divisors, whose sum is σ = 575959138005888. Its totient is φ = 74958873600000.

The previous prime is 212202202101949. The next prime is 212202202102141. The reversal of 212202202102000 is 201202202212.

212202202102000 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 (16).

It is a congruent number.

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, 116865052 + ... + 118666948.

Almost surely, 2^{212202202102000} is an apocalyptic number.

212202202102000 is a gapful number since it is divisible by the number (20) 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 212202202102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287979569002944).

212202202102000 is an abundant number, since it is smaller than the sum of its proper divisors (363756935903888).

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

212202202102000 is a wasteful number, since it uses less digits than its factorization.

212202202102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802085 (or 1802069 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212202202102000 its reverse (201202202212), we get a palindrome (212403404304212).

The spelling of 212202202102000 in words is "two hundred twelve trillion, two hundred two billion, two hundred two million, one hundred two thousand".