21221102122000 has 640 divisors, whose sum is σ = 59176918434816. Its totient is φ = 7284992000000.

The previous prime is 21221102121959. The next prime is 21221102122019. The reversal of 21221102122000 is 22120112212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26626225602 + ... + 26626226398.

Almost surely, 2^{21221102122000} is an apocalyptic number.

21221102122000 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 21221102122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29588459217408).

21221102122000 is an abundant number, since it is smaller than the sum of its proper divisors (37955816312816).

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

21221102122000 is a wasteful number, since it uses less digits than its factorization.

21221102122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21221102122000 its reverse (22120112212), we get a palindrome (21243222234212).

It can be divided in two parts, 2122110212 and 2000, that added together give a palindrome (2122112212).

The spelling of 21221102122000 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred two million, one hundred twenty-two thousand".