202201011102100 has 72 divisors (see below), whose sum is σ = 449597597021496. Its totient is φ = 78886725120000.

The previous prime is 202201011102043. The next prime is 202201011102119. The reversal of 202201011102100 is 1201110102202.

It can be written as a sum of positive squares in 12 ways, for example, as 99503298317956 + 102697712784144 = 9975134^2 + 10133988^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8863690 + ... + 21976510.

It is an arithmetic number, because the mean of its divisors is an integer number (6244411069743).

Almost surely, 2^{202201011102100} is an apocalyptic number.

202201011102100 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 202201011102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224798798510748).

202201011102100 is an abundant number, since it is smaller than the sum of its proper divisors (247396585919396).

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

202201011102100 is a wasteful number, since it uses less digits than its factorization.

202201011102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13116637 (or 13116630 counting only the distinct ones).

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

Adding to 202201011102100 its reverse (1201110102202), we get a palindrome (203402121204302).

The spelling of 202201011102100 in words is "two hundred two trillion, two hundred one billion, eleven million, one hundred two thousand, one hundred".