202201011210000 has 1600 divisors, whose sum is σ = 766609486638336. Its totient is φ = 45367296000000.

The previous prime is 202201011209959. The next prime is 202201011210049. The reversal of 202201011210000 is 12110102202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 88957768864 + ... + 88957771136.

Almost surely, 2^{202201011210000} is an apocalyptic number.

202201011210000 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 202201011210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383304743319168).

202201011210000 is an abundant number, since it is smaller than the sum of its proper divisors (564408475428336).

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

202201011210000 is a wasteful number, since it uses less digits than its factorization.

202201011210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202201011210000 its reverse (12110102202), we get a palindrome (202213121312202).

The spelling of 202201011210000 in words is "two hundred two trillion, two hundred one billion, eleven million, two hundred ten thousand".