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10102021117 is a prime number
BaseRepresentation
bin10010110100010000…
…01001101111111101
3222002000201211210021
421122020021233331
5131142104133432
64350225212141
7505223522416
oct113210115775
928060654707
1010102021117
114314366a91
121b5b191051
13c4cb8abb6
146bb91c80d
153e1d11697
hex25a209bfd

10102021117 has 2 divisors, whose sum is σ = 10102021118. Its totient is φ = 10102021116.

The previous prime is 10102021091. The next prime is 10102021151. The reversal of 10102021117 is 71112020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7148533401 + 2953487716 = 84549^2 + 54346^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10102021117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102021117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102021177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051010558 + 5051010559.

It is an arithmetic number, because the mean of its divisors is an integer number (5051010559).

Almost surely, 210102021117 is an apocalyptic number.

It is an amenable number.

10102021117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102021117 is an equidigital number, since it uses as much as digits as its factorization.

10102021117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 10102021117 its reverse (71112020101), we get a palindrome (81214041218).

The spelling of 10102021117 in words is "ten billion, one hundred two million, twenty-one thousand, one hundred seventeen".