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10001102201021 is a prime number
BaseRepresentation
bin1001000110001001000000…
…1001001110000010111101
31022102002121000012212101102
42101202100021032002331
52302324224130413041
633134235401022445
72051361431035331
oct221422011160275
938362530185342
1010001102201021
113206497511a58
121156344a84a25
1357713b5c9c89
142680ad6817c1
15125241ab109b
hex9189024e0bd

10001102201021 has 2 divisors, whose sum is σ = 10001102201022. Its totient is φ = 10001102201020.

The previous prime is 10001102200997. The next prime is 10001102201029. The reversal of 10001102201021 is 12010220110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5935289700025 + 4065812500996 = 2436245^2 + 2016386^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001102201021 - 222 = 10001098006717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001102200993 and 10001102201011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001102201029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000551100510 + 5000551100511.

It is an arithmetic number, because the mean of its divisors is an integer number (5000551100511).

Almost surely, 210001102201021 is an apocalyptic number.

It is an amenable number.

10001102201021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001102201021 is an equidigital number, since it uses as much as digits as its factorization.

10001102201021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10001102201021 its reverse (12010220110001), we get a palindrome (22011322311022).

The spelling of 10001102201021 in words is "ten trillion, one billion, one hundred two million, two hundred one thousand, twenty-one".