200101100022000 has 960 divisors, whose sum is σ = 728147265056640. Its totient is φ = 51174402048000.

The previous prime is 200101100021929. The next prime is 200101100022097. The reversal of 200101100022000 is 220001101002.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29131034566 + ... + 29131041434.

It is an arithmetic number, because the mean of its divisors is an integer number (758486734434).

Almost surely, 2^{200101100022000} is an apocalyptic number.

200101100022000 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 200101100022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364073632528320).

200101100022000 is an abundant number, since it is smaller than the sum of its proper divisors (528046165034640).

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

200101100022000 is a wasteful number, since it uses less digits than its factorization.

200101100022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7619 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200101100022000 its reverse (220001101002), we get a palindrome (200321101123002).

The spelling of 200101100022000 in words is "two hundred trillion, one hundred one billion, one hundred million, twenty-two thousand".