202211222122100 has 144 divisors (see below), whose sum is σ = 453677477783040. Its totient is φ = 78150209894400.

The previous prime is 202211222122073. The next prime is 202211222122109. The reversal of 202211222122100 is 1221222112202.

It is a super-2 number, since 2×202211222122100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202211222122109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7731842624 + ... + 7731868776.

It is an arithmetic number, because the mean of its divisors is an integer number (3150538040160).

Almost surely, 2^{202211222122100} is an apocalyptic number.

202211222122100 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 202211222122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226838738891520).

202211222122100 is an abundant number, since it is smaller than the sum of its proper divisors (251466255660940).

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

202211222122100 is a wasteful number, since it uses less digits than its factorization.

202211222122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30090 (or 30083 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 202211222122100 its reverse (1221222112202), we get a palindrome (203432444234302).

The spelling of 202211222122100 in words is "two hundred two trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred".