201200022001000 has 128 divisors (see below), whose sum is σ = 521274588082560. Its totient is φ = 72071649408000.

The previous prime is 201200022000979. The next prime is 201200022001081. The reversal of 201200022001000 is 100220002102.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 135762337 + ... + 137236336.

It is an arithmetic number, because the mean of its divisors is an integer number (4072457719395).

Almost surely, 2^{201200022001000} is an apocalyptic number.

201200022001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200022001000 is an abundant number, since it is smaller than the sum of its proper divisors (320074566081560).

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

201200022001000 is a wasteful number, since it uses less digits than its factorization.

201200022001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272998772 (or 272998758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201200022001000 its reverse (100220002102), we get a palindrome (201300242003102).

The spelling of 201200022001000 in words is "two hundred one trillion, two hundred billion, twenty-two million, one thousand".