201001022202000 has 640 divisors, whose sum is σ = 675407339163648. Its totient is φ = 51370868736000.

The previous prime is 201001022201971. The next prime is 201001022202011. The reversal of 201001022202000 is 202220100102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11033696892 + ... + 11033715108.

Almost surely, 2^{201001022202000} is an apocalyptic number.

201001022202000 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 201001022202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337703669581824).

201001022202000 is an abundant number, since it is smaller than the sum of its proper divisors (474406316961648).

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

201001022202000 is a wasteful number, since it uses less digits than its factorization.

201001022202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18844 (or 18828 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201001022202000 its reverse (202220100102), we get a palindrome (201203242302102).

The spelling of 201001022202000 in words is "two hundred one trillion, one billion, twenty-two million, two hundred two thousand".