21331012102002 has 12 divisors (see below), whose sum is σ = 46217192887710. Its totient is φ = 7110337367328.

The previous prime is 21331012101983. The next prime is 21331012102121. The reversal of 21331012102002 is 20020121013312.

21331012102002 is a `hidden beast` number, since 213 + 310 + 121 + 0 + 20 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21327411021921 + 3601080081 = 4618161^2 + 60009^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1185056227889 = 21331012102002 / (2 + 1 + 3 + 3 + 1 + 0 + 1 + 2 + 1 + 0 + 2 + 0 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 592528113927 + ... + 592528113962.

Almost surely, 2^{21331012102002} is an apocalyptic number.

21331012102002 is an abundant number, since it is smaller than the sum of its proper divisors (24886180785708).

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

21331012102002 is a wasteful number, since it uses less digits than its factorization.

21331012102002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185056227897 (or 1185056227894 counting only the distinct ones).

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

Adding to 21331012102002 its reverse (20020121013312), we get a palindrome (41351133115314).

The spelling of 21331012102002 in words is "twenty-one trillion, three hundred thirty-one billion, twelve million, one hundred two thousand, two".