21621362401002 has 384 divisors, whose sum is σ = 57634674370560. Its totient is φ = 5344442933760.

The previous prime is 21621362400977. The next prime is 21621362401013. The reversal of 21621362401002 is 20010426312612.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7746814227 + ... + 7746817017.

It is an arithmetic number, because the mean of its divisors is an integer number (150090297840).

Almost surely, 2^{21621362401002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21621362401002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28817337185280).

21621362401002 is an abundant number, since it is smaller than the sum of its proper divisors (36013311969558).

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

21621362401002 is a wasteful number, since it uses less digits than its factorization.

21621362401002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 21621362401002 its reverse (20010426312612), we get a palindrome (41631788713614).

The spelling of 21621362401002 in words is "twenty-one trillion, six hundred twenty-one billion, three hundred sixty-two million, four hundred one thousand, two".