202201022011100 has 144 divisors (see below), whose sum is σ = 507526927531008. Its totient is φ = 68487204360960.

The previous prime is 202201022011063. The next prime is 202201022011111. The reversal of 202201022011100 is 1110220102202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1250056829 + ... + 1250218571.

Almost surely, 2^{202201022011100} is an apocalyptic number.

202201022011100 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 202201022011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253763463765504).

202201022011100 is an abundant number, since it is smaller than the sum of its proper divisors (305325905519908).

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

202201022011100 is a wasteful number, since it uses less digits than its factorization.

202201022011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183364 (or 183357 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202201022011100 its reverse (1110220102202), we get a palindrome (203311242113302).

The spelling of 202201022011100 in words is "two hundred two trillion, two hundred one billion, twenty-two million, eleven thousand, one hundred".