1122210202100 has 288 divisors, whose sum is σ = 2780852014080. Its totient is φ = 390205440000.

The previous prime is 1122210202081. The next prime is 1122210202121. The reversal of 1122210202100 is 12020122211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240145364 + ... + 240150036.

It is an arithmetic number, because the mean of its divisors is an integer number (9655736160).

Almost surely, 2^{1122210202100} is an apocalyptic number.

1122210202100 is a gapful number since it is divisible by the number (10) 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 1122210202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390426007040).

1122210202100 is an abundant number, since it is smaller than the sum of its proper divisors (1658641811980).

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

1122210202100 is a wasteful number, since it uses less digits than its factorization.

1122210202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4891 (or 4884 counting only the distinct ones).

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

Adding to 1122210202100 its reverse (12020122211), we get a palindrome (1134230324311).

The spelling of 1122210202100 in words is "one trillion, one hundred twenty-two billion, two hundred ten million, two hundred two thousand, one hundred".