202212110100 has 1152 divisors, whose sum is σ = 813907906560. Its totient is φ = 37416960000.

The previous prime is 202212110071. The next prime is 202212110161. The reversal of 202212110100 is 1011212202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1789487644 + ... + 1789487756.

It is an arithmetic number, because the mean of its divisors is an integer number (706517280).

Almost surely, 2^202212110100 is an apocalyptic number.

202212110100 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 202212110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406953953280).

202212110100 is an abundant number, since it is smaller than the sum of its proper divisors (611695796460).

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

202212110100 is a wasteful number, since it uses less digits than its factorization.

202212110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202212110100 its reverse (1011212202), we get a palindrome (203223322302).

The spelling of 202212110100 in words is "two hundred two billion, two hundred twelve million, one hundred ten thousand, one hundred".