201012221022000 has 160 divisors (see below), whose sum is σ = 648089557899264. Its totient is φ = 53601095392000.

The previous prime is 201012221021999. The next prime is 201012221022023. The reversal of 201012221022000 is 220122210102.

201012221022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 150818515 + ... + 152145485.

Almost surely, 2^{201012221022000} is an apocalyptic number.

201012221022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012221022000 is an abundant number, since it is smaller than the sum of its proper divisors (447077336877264).

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

201012221022000 is a wasteful number, since it uses less digits than its factorization.

201012221022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352244 (or 1352228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201012221022000 its reverse (220122210102), we get a palindrome (201232343232102).

The spelling of 201012221022000 in words is "two hundred one trillion, twelve billion, two hundred twenty-one million, twenty-two thousand".