202121110012000 has 192 divisors, whose sum is σ = 502279614083520. Its totient is φ = 79926004224000.

The previous prime is 202121110011983. The next prime is 202121110012033. The reversal of 202121110012000 is 210011121202.

It is a super-2 number, since 2×202121110012000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2159805210 + ... + 2159898790.

It is an arithmetic number, because the mean of its divisors is an integer number (2616039656685).

Almost surely, 2^{202121110012000} is an apocalyptic number.

202121110012000 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 202121110012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251139807041760).

202121110012000 is an abundant number, since it is smaller than the sum of its proper divisors (300158504071520).

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

202121110012000 is an equidigital number, since it uses as much as digits as its factorization.

202121110012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99762 (or 99744 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 202121110012000 its reverse (210011121202), we get a palindrome (202331121133202).

The spelling of 202121110012000 in words is "two hundred two trillion, one hundred twenty-one billion, one hundred ten million, twelve thousand".