201101022210100 has 36 divisors (see below), whose sum is σ = 436395308498604. Its totient is φ = 80439286247680.

The previous prime is 201101022210083. The next prime is 201101022210113. The reversal of 201101022210100 is 1012220101102.

It can be written as a sum of positive squares in 6 ways, for example, as 9346215036964 + 191754807173136 = 3057158^2 + 13847556^2 .

It is a super-2 number, since 2×201101022210100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6813337 + ... + 21180736.

It is an arithmetic number, because the mean of its divisors is an integer number (12122091902739).

Almost surely, 2^{201101022210100} is an apocalyptic number.

201101022210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101022210100 is an abundant number, since it is smaller than the sum of its proper divisors (235294286288504).

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

201101022210100 is a wasteful number, since it uses less digits than its factorization.

201101022210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28065924 (or 28065917 counting only the distinct ones).

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

Adding to 201101022210100 its reverse (1012220101102), we get a palindrome (202113242311202).

The spelling of 201101022210100 in words is "two hundred one trillion, one hundred one billion, twenty-two million, two hundred ten thousand, one hundred".