10212212021200 has 120 divisors (see below), whose sum is σ = 28059394673088. Its totient is φ = 3498885104640.

The previous prime is 10212212021191. The next prime is 10212212021239. The reversal of 10212212021200 is 212021221201.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 2739819 + ... + 5284981.

Almost surely, 2^{10212212021200} is an apocalyptic number.

10212212021200 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 10212212021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14029697336544).

10212212021200 is an abundant number, since it is smaller than the sum of its proper divisors (17847182651888).

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

10212212021200 is a wasteful number, since it uses less digits than its factorization.

10212212021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546621 (or 2546610 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10212212021200 its reverse (212021221201), we get a palindrome (10424233242401).

The spelling of 10212212021200 in words is "ten trillion, two hundred twelve billion, two hundred twelve million, twenty-one thousand, two hundred".