21222010002000 has 160 divisors (see below), whose sum is σ = 69285834708480. Its totient is φ = 5587567065600.

The previous prime is 21222010001999. The next prime is 21222010002001. The reversal of 21222010002000 is 20001022212.

It is an interprime number because it is at equal distance from previous prime (21222010001999) and next prime (21222010002001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222010002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21912087 + ... + 22860086.

It is an arithmetic number, because the mean of its divisors is an integer number (433036466928).

Almost surely, 2^{21222010002000} is an apocalyptic number.

21222010002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222010002000 is an abundant number, since it is smaller than the sum of its proper divisors (48063824706480).

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

21222010002000 is a wasteful number, since it uses less digits than its factorization.

21222010002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44772278 (or 44772262 counting only the distinct ones).

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

Adding to 21222010002000 its reverse (20001022212), we get a palindrome (21242011024212).

The spelling of 21222010002000 in words is "twenty-one trillion, two hundred twenty-two billion, ten million, two thousand".