201022022012000 has 192 divisors, whose sum is σ = 568778778247680. Its totient is φ = 68395713984000.

The previous prime is 201022022011999. The next prime is 201022022012023. The reversal of 201022022012000 is 210220220102.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 23734130 + ... + 31070129.

It is an arithmetic number, because the mean of its divisors is an integer number (2962389470040).

Almost surely, 2^{201022022012000} is an apocalyptic number.

201022022012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022022012000 is an abundant number, since it is smaller than the sum of its proper divisors (367756756235680).

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

201022022012000 is a wasteful number, since it uses less digits than its factorization.

201022022012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54804422 (or 54804404 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 201022022012000 its reverse (210220220102), we get a palindrome (201232242232102).

The spelling of 201022022012000 in words is "two hundred one trillion, twenty-two billion, twenty-two million, twelve thousand".