2122101221000 has 64 divisors (see below), whose sum is σ = 4969315830960. Its totient is φ = 848225280000.

The previous prime is 2122101220973. The next prime is 2122101221029. The reversal of 2122101221000 is 1221012212.

It can be written as a sum of positive squares in 8 ways, for example, as 196839519556 + 1925261701444 = 443666^2 + 1387538^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612680 + ... + 2149320.

Almost surely, 2^{2122101221000} is an apocalyptic number.

2122101221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122101221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484657915480).

2122101221000 is an abundant number, since it is smaller than the sum of its proper divisors (2847214609960).

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

2122101221000 is a wasteful number, since it uses less digits than its factorization.

2122101221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538043 (or 1538029 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2122101221000 its reverse (1221012212), we get a palindrome (2123322233212).

The spelling of 2122101221000 in words is "two trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-one thousand".