202202012101100 has 216 divisors, whose sum is σ = 502273004814000. Its totient is φ = 70516077632000.

The previous prime is 202202012101079. The next prime is 202202012101153. The reversal of 202202012101100 is 1101210202202.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50350415 + ... + 54217785.

It is an arithmetic number, because the mean of its divisors is an integer number (2325337985250).

Almost surely, 2^{202202012101100} is an apocalyptic number.

202202012101100 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 202202012101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251136502407000).

202202012101100 is an abundant number, since it is smaller than the sum of its proper divisors (300070992712900).

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

202202012101100 is a wasteful number, since it uses less digits than its factorization.

202202012101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867585 (or 3867567 counting only the distinct ones).

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

Adding to 202202012101100 its reverse (1101210202202), we get a palindrome (203303222303302).

The spelling of 202202012101100 in words is "two hundred two trillion, two hundred two billion, twelve million, one hundred one thousand, one hundred".