2122210133000 has 64 divisors (see below), whose sum is σ = 4984433204400. Its totient is φ = 845728243200.

The previous prime is 2122210132979. The next prime is 2122210133003. The reversal of 2122210133000 is 3310122212.

It can be written as a sum of positive squares in 8 ways, for example, as 18393326884 + 2103816806116 = 135622^2 + 1450454^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2122210133000.

It is not an unprimeable number, because it can be changed into a prime (2122210133003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3675629 + ... + 4213628.

Almost surely, 2^{2122210133000} is an apocalyptic number.

2122210133000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122210133000 is an abundant number, since it is smaller than the sum of its proper divisors (2862223071400).

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

2122210133000 is a wasteful number, since it uses less digits than its factorization.

2122210133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7889547 (or 7889533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2122210133000 its reverse (3310122212), we get a palindrome (2125520255212).

The spelling of 2122210133000 in words is "two trillion, one hundred twenty-two billion, two hundred ten million, one hundred thirty-three thousand".