21133401010002 has 128 divisors (see below), whose sum is σ = 50283832112640. Its totient is φ = 6562892160000.

The previous prime is 21133401009899. The next prime is 21133401010019. The reversal of 21133401010002 is 20001010433112.

21133401010002 is a `hidden beast` number, since 211 + 3 + 340 + 10 + 100 + 0 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 30258852 + ... + 30949392.

It is an arithmetic number, because the mean of its divisors is an integer number (392842438380).

Almost surely, 2^{21133401010002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21133401010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25141916056320).

21133401010002 is an abundant number, since it is smaller than the sum of its proper divisors (29150431102638).

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

21133401010002 is a wasteful number, since it uses less digits than its factorization.

21133401010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691217 (or 691211 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21133401010002 its reverse (20001010433112), we get a palindrome (41134411443114).

The spelling of 21133401010002 in words is "twenty-one trillion, one hundred thirty-three billion, four hundred one million, ten thousand, two".