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10100611021 is a prime number
BaseRepresentation
bin10010110100000101…
…10001011111001101
3222001221002012111111
421122002301133031
5131141224023041
64350135052021
7505205530354
oct113202613715
928057065444
1010100611021
114313593616
121b5a811011
13c4c7b6117
146bb67299b
153e1b33981
hex25a0b17cd

10100611021 has 2 divisors, whose sum is σ = 10100611022. Its totient is φ = 10100611020.

The previous prime is 10100610973. The next prime is 10100611043. The reversal of 10100611021 is 12011600101.

10100611021 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., 7205632996 + 2894978025 = 84886^2 + 53805^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100611021 - 221 = 10098513869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100610992 and 10100611010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100611121) 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, 5050305510 + 5050305511.

It is an arithmetic number, because the mean of its divisors is an integer number (5050305511).

Almost surely, 210100611021 is an apocalyptic number.

It is an amenable number.

10100611021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100611021 is an equidigital number, since it uses as much as digits as its factorization.

10100611021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

The spelling of 10100611021 in words is "ten billion, one hundred million, six hundred eleven thousand, twenty-one".