202212021102100 has 72 divisors (see below), whose sum is σ = 442888692988280. Its totient is φ = 80131359006720.

The previous prime is 202212021102089. The next prime is 202212021102103. The reversal of 202212021102100 is 1201120212202.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1510568818704 + 200701452283396 = 1229052^2 + 14166914^2 .

It is a super-2 number, since 2×202212021102100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202212021102103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75606892 + ... + 78235708.

Almost surely, 2^{202212021102100} is an apocalyptic number.

202212021102100 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 202212021102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221444346494140).

202212021102100 is an abundant number, since it is smaller than the sum of its proper divisors (240676671886180).

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

202212021102100 is a wasteful number, since it uses less digits than its factorization.

202212021102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635997 (or 2635990 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202212021102100 its reverse (1201120212202), we get a palindrome (203413141314302).

The spelling of 202212021102100 in words is "two hundred two trillion, two hundred twelve billion, twenty-one million, one hundred two thousand, one hundred".