2101222002000 has 320 divisors, whose sum is σ = 7398781947648. Its totient is φ = 508794880000.

The previous prime is 2101222001999. The next prime is 2101222002017. The reversal of 2101222002000 is 2002221012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58127932 + ... + 58164068.

Almost surely, 2^{2101222002000} is an apocalyptic number.

2101222002000 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 2101222002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699390973824).

2101222002000 is an abundant number, since it is smaller than the sum of its proper divisors (5297559945648).

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

2101222002000 is a wasteful number, since it uses less digits than its factorization.

2101222002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37055 (or 37039 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2101222002000 its reverse (2002221012), we get a palindrome (2103224223012).

It can be divided in two parts, 210122 and 2002000, that added together give a palindrome (2212122).

The spelling of 2101222002000 in words is "two trillion, one hundred one billion, two hundred twenty-two million, two thousand".