212210202102000 has 160 divisors (see below), whose sum is σ = 684308825241600. Its totient is φ = 56577548217600.

The previous prime is 212210202101993. The next prime is 212210202102001. The reversal of 212210202102000 is 201202012212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212210202102001) 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, 25000701 + ... + 32395299.

It is an arithmetic number, because the mean of its divisors is an integer number (4276930157760).

Almost surely, 2^{212210202102000} is an apocalyptic number.

212210202102000 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 212210202102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342154412620800).

212210202102000 is an abundant number, since it is smaller than the sum of its proper divisors (472098623139600).

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

212210202102000 is a wasteful number, since it uses less digits than its factorization.

212210202102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7399408 (or 7399392 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212210202102000 its reverse (201202012212), we get a palindrome (212411404114212).

The spelling of 212210202102000 in words is "two hundred twelve trillion, two hundred ten billion, two hundred two million, one hundred two thousand".