201020212022000 has 160 divisors (see below), whose sum is σ = 556347974307840. Its totient is φ = 68816627846400.

The previous prime is 201020212021949. The next prime is 201020212022051. The reversal of 201020212022000 is 220212020102.

201020212022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201020212021949) and next prime (201020212022051).

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, 1668224 + ... + 20120223.

It is an arithmetic number, because the mean of its divisors is an integer number (3477174839424).

Almost surely, 2^{201020212022000} is an apocalyptic number.

201020212022000 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 201020212022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278173987153920).

201020212022000 is an abundant number, since it is smaller than the sum of its proper divisors (355327762285840).

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

201020212022000 is a wasteful number, since it uses less digits than its factorization.

201020212022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21789136 (or 21789120 counting only the distinct ones).

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

Adding to 201020212022000 its reverse (220212020102), we get a palindrome (201240424042102).

The spelling of 201020212022000 in words is "two hundred one trillion, twenty billion, two hundred twelve million, twenty-two thousand".