222122121102100 has 36 divisors (see below), whose sum is σ = 482144271096348. Its totient is φ = 88823176864000.

The previous prime is 222122121102053. The next prime is 222122121102107. The reversal of 222122121102100 is 1201121221222.

It can be written as a sum of positive squares in 6 ways, for example, as 869526410256 + 221252594691844 = 932484^2 + 14874562^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222122121102107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320546881 + ... + 321239080.

It is an arithmetic number, because the mean of its divisors is an integer number (13392896419343).

Almost surely, 2^{222122121102100} is an apocalyptic number.

222122121102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222122121102100 is an abundant number, since it is smaller than the sum of its proper divisors (260022149994248).

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

222122121102100 is a wasteful number, since it uses less digits than its factorization.

222122121102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641789436 (or 641789429 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 222122121102100 its reverse (1201121221222), we get a palindrome (223323242323322).

The spelling of 222122121102100 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred two thousand, one hundred".