201021022110100 has 18 divisors (see below), whose sum is σ = 436215617979134. Its totient is φ = 80408408844000.

The previous prime is 201021022110089. The next prime is 201021022110101. The reversal of 201021022110100 is 1011220120102.

It can be written as a sum of positive squares in 3 ways, for example, as 9745373010564 + 191275649099536 = 3121758^2 + 13830244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201021022110101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1005105110451 + ... + 1005105110650.

Almost surely, 2^{201021022110100} is an apocalyptic number.

201021022110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201021022110100 is an abundant number, since it is smaller than the sum of its proper divisors (235194595869034).

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

201021022110100 is a wasteful number, since it uses less digits than its factorization.

201021022110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010210221115 (or 2010210221108 counting only the distinct ones).

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

Adding to 201021022110100 its reverse (1011220120102), we get a palindrome (202032242230202).

The spelling of 201021022110100 in words is "two hundred one trillion, twenty-one billion, twenty-two million, one hundred ten thousand, one hundred".