201022102101100 has 576 divisors, whose sum is σ = 563923906560000. Its totient is φ = 60619335828480.

The previous prime is 201022102101049. The next prime is 201022102101127. The reversal of 201022102101100 is 1101201220102.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1425729406 + ... + 1425870394.

It is an arithmetic number, because the mean of its divisors is an integer number (979034560000).

Almost surely, 2^{201022102101100} is an apocalyptic number.

201022102101100 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 201022102101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281961953280000).

201022102101100 is an abundant number, since it is smaller than the sum of its proper divisors (362901804458900).

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

201022102101100 is a wasteful number, since it uses less digits than its factorization.

201022102101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141190 (or 141183 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201022102101100 its reverse (1101201220102), we get a palindrome (202123303321202).

The spelling of 201022102101100 in words is "two hundred one trillion, twenty-two billion, one hundred two million, one hundred one thousand, one hundred".