201101022000000 has 1792 divisors, whose sum is σ = 771899025816000. Its totient is φ = 51480576000000.

The previous prime is 201101021999993. The next prime is 201101022000061. The reversal of 201101022000000 is 220101102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 440045999772 + ... + 440046000228.

Almost surely, 2^{201101022000000} is an apocalyptic number.

201101022000000 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 201101022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385949512908000).

201101022000000 is an abundant number, since it is smaller than the sum of its proper divisors (570798003816000).

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

201101022000000 is an frugal number, since it uses more digits than its factorization.

201101022000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201101022000000 its reverse (220101102), we get a palindrome (201101242101102).

The spelling of 201101022000000 in words is "two hundred one trillion, one hundred one billion, twenty-two million", and thus it is an aban number.