200101211100000 has 432 divisors, whose sum is σ = 812859169370976. Its totient is φ = 45737418240000.

The previous prime is 200101211099981. The next prime is 200101211100019. The reversal of 200101211100000 is 1112101002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200101211099981) and next prime (200101211100019).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9581049 + ... + 22181048.

It is an arithmetic number, because the mean of its divisors is an integer number (1881618447618).

Almost surely, 2^{200101211100000} is an apocalyptic number.

200101211100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200101211100000 is an abundant number, since it is smaller than the sum of its proper divisors (612757958270976).

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

200101211100000 is an equidigital number, since it uses as much as digits as its factorization.

200101211100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31762145 (or 31762114 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 200101211100000 its reverse (1112101002), we get a palindrome (200102323201002).

The spelling of 200101211100000 in words is "two hundred trillion, one hundred one billion, two hundred eleven million, one hundred thousand".