21222231102000 has 240 divisors, whose sum is σ = 74218116799008. Its totient is φ = 5651936755200.

The previous prime is 21222231101993. The next prime is 21222231102019. The reversal of 21222231102000 is 20113222212.

21222231102000 is a `hidden beast` number, since 2 + 1 + 222 + 231 + 10 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21222231102000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13151379 + ... + 14676621.

Almost surely, 2^{21222231102000} is an apocalyptic number.

21222231102000 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 21222231102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37109058399504).

21222231102000 is an abundant number, since it is smaller than the sum of its proper divisors (52995885697008).

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

21222231102000 is a wasteful number, since it uses less digits than its factorization.

21222231102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526045 (or 1526026 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21222231102000 its reverse (20113222212), we get a palindrome (21242344324212).

It can be divided in two parts, 2122223 and 1102000, that added together give a palindrome (3224223).

The spelling of 21222231102000 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred thirty-one million, one hundred two thousand".