22211211222100 has 36 divisors (see below), whose sum is σ = 48232057373500. Its totient is φ = 8878267157760.

The previous prime is 22211211222061. The next prime is 22211211222143. The reversal of 22211211222100 is 122211211222.

It can be written as a sum of positive squares in 6 ways, for example, as 289825029316 + 21921386192784 = 538354^2 + 4682028^2 .

It is a super-3 number, since 3×22211211222100³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77573025 + ... + 77858824.

Almost surely, 2^{22211211222100} is an apocalyptic number.

22211211222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22211211222100 is an abundant number, since it is smaller than the sum of its proper divisors (26020846151400).

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

22211211222100 is a wasteful number, since it uses less digits than its factorization.

22211211222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155433292 (or 155433285 counting only the distinct ones).

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

Adding to 22211211222100 its reverse (122211211222), we get a palindrome (22333422433322).

The spelling of 22211211222100 in words is "twenty-two trillion, two hundred eleven billion, two hundred eleven million, two hundred twenty-two thousand, one hundred".