1021122100219 has 64 divisors (see below), whose sum is σ = 1186167628800. Its totient is φ = 871822651392.

The previous prime is 1021122100177. The next prime is 1021122100247. The reversal of 1021122100219 is 9120012211201.

It is a cyclic number.

It is not a de Polignac number, because 1021122100219 - 2¹³ = 1021122092027 is a prime.

It is a super-2 number, since 2×1021122100219² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1021122100219.

It is not an unprimeable number, because it can be changed into a prime (1021122100819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273098452 + ... + 273102190.

It is an arithmetic number, because the mean of its divisors is an integer number (18533869200).

Almost surely, 2^{1021122100219} is an apocalyptic number.

1021122100219 is a deficient number, since it is larger than the sum of its proper divisors (165045528581).

1021122100219 is a wasteful number, since it uses less digits than its factorization.

1021122100219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 1021122100219 in words is "one trillion, twenty-one billion, one hundred twenty-two million, one hundred thousand, two hundred nineteen".