22021212120100 has 36 divisors (see below), whose sum is σ = 47786334892884. Its totient is φ = 8808428702080.

The previous prime is 22021212120077. The next prime is 22021212120107. The reversal of 22021212120100 is 102121212022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 999152179776 + 21022059940324 = 999576^2 + 4584982^2 .

It is not an unprimeable number, because it can be changed into a prime (22021212120107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17383854 + ... + 18607546.

It is an arithmetic number, because the mean of its divisors is an integer number (1327398191469).

Almost surely, 2^{22021212120100} is an apocalyptic number.

22021212120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021212120100 is an abundant number, since it is smaller than the sum of its proper divisors (25765122772784).

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

22021212120100 is a wasteful number, since it uses less digits than its factorization.

22021212120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403664 (or 1403657 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22021212120100 its reverse (102121212022), we get a palindrome (22123333332122).

The spelling of 22021212120100 in words is "twenty-two trillion, twenty-one billion, two hundred twelve million, one hundred twenty thousand, one hundred".