201022132110100 has 144 divisors (see below), whose sum is σ = 499363652569600. Its totient is φ = 68807321320320.

The previous prime is 201022132110091. The next prime is 201022132110167. The reversal of 201022132110100 is 1011231220102.

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, 5733806371 + ... + 5733841429.

Almost surely, 2^{201022132110100} is an apocalyptic number.

201022132110100 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 201022132110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249681826284800).

201022132110100 is an abundant number, since it is smaller than the sum of its proper divisors (298341520459500).

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

201022132110100 is a wasteful number, since it uses less digits than its factorization.

201022132110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48462 (or 48455 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 201022132110100 its reverse (1011231220102), we get a palindrome (202033363330202).

The spelling of 201022132110100 in words is "two hundred one trillion, twenty-two billion, one hundred thirty-two million, one hundred ten thousand, one hundred".