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10002122000021 is a prime number
BaseRepresentation
bin1001000110001100110011…
…1011011100011010010101
31022102012020002011000121202
42101203030323130122111
52302333321213000041
633134524510522245
72051425623140264
oct221431473343225
938365202130552
1010002122000021
113206970129048
12115658a506385
13577271979c38
14268168ca45db
151252a13a3a9b
hex918ccedc695

10002122000021 has 2 divisors, whose sum is σ = 10002122000022. Its totient is φ = 10002122000020.

The previous prime is 10002121999943. The next prime is 10002122000063. The reversal of 10002122000021 is 12000022120001.

It is a happy number.

10002122000021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6360932923921 + 3641189076100 = 2522089^2 + 1908190^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002122000021 - 218 = 10002121737877 is a prime.

It is a super-3 number, since 3×100021220000213 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002121999966 and 10002122000011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002122005021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001061000010 + 5001061000011.

It is an arithmetic number, because the mean of its divisors is an integer number (5001061000011).

Almost surely, 210002122000021 is an apocalyptic number.

It is an amenable number.

10002122000021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002122000021 is an equidigital number, since it uses as much as digits as its factorization.

10002122000021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10002122000021 its reverse (12000022120001), we get a palindrome (22002144120022).

The spelling of 10002122000021 in words is "ten trillion, two billion, one hundred twenty-two million, twenty-one", and thus it is an aban number.