22002010102000 has 160 divisors (see below), whose sum is σ = 53705354137344. Its totient is φ = 8717445632000.

The previous prime is 22002010101991. The next prime is 22002010102031. The reversal of 22002010102000 is 20101020022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369932265 + ... + 369991735.

Almost surely, 2^{22002010102000} is an apocalyptic number.

22002010102000 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 22002010102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26852677068672).

22002010102000 is an abundant number, since it is smaller than the sum of its proper divisors (31703344035344).

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

22002010102000 is a wasteful number, since it uses less digits than its factorization.

22002010102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61244 (or 61228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22002010102000 its reverse (20101020022), we get a palindrome (22022111122022).

It can be divided in two parts, 2 and 2002010102000, that added together give a palindrome (2002010102002).

The spelling of 22002010102000 in words is "twenty-two trillion, two billion, ten million, one hundred two thousand".