Search a number
21010012100001 = 322334445788889
BaseRepresentation
bin1001100011011110001100…
…10011101101010110100001
32202101112111212102022100100
410301233012103231112201
510223212001044200001
6112403511042413013
74265631454146561
oct461570623552641
982345455368310
1021010012100001
116770329111941
122433a6a661169
13b9530a9153b2
14528c66296da1
152667ba59a586
hex131bc64ed5a1

21010012100001 has 6 divisors (see below), whose sum is σ = 30347795255570. Its totient is φ = 14006674733328.

The previous prime is 21010012099957. The next prime is 21010012100047. The reversal of 21010012100001 is 10000121001012.

Adding to 21010012100001 its reverse (10000121001012), we get a palindrome (31010133101013).

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 14738112950625 + 6271899149376 = 3839025^2 + 2504376^2 .

It is not a de Polignac number, because 21010012100001 - 217 = 21010011968929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 2334445788889 = 21010012100001 / (2 + 1 + 0 + 1 + 0 + 0 + 1 + 2 + 1 + 0 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21010012100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1167222894436 + ... + 1167222894453.

Almost surely, 221010012100001 is an apocalyptic number.

It is an amenable number.

21010012100001 is a deficient number, since it is larger than the sum of its proper divisors (9337783155569).

21010012100001 is a wasteful number, since it uses less digits than its factorization.

21010012100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334445788895 (or 2334445788892 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The spelling of 21010012100001 in words is "twenty-one trillion, ten billion, twelve million, one hundred thousand, one".