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10101011029 is a prime number
BaseRepresentation
bin10010110100001000…
…10011001001010101
3222001221211112012121
421122010103021111
5131141324323104
64350151415541
7505212114514
oct113204231125
928057745177
1010101011029
1143138370aa
121b5a9845b1
13c4c8c6205
146bb73867b
153e1bb2254
hex25a113255

10101011029 has 2 divisors, whose sum is σ = 10101011030. Its totient is φ = 10101011028.

The previous prime is 10101011009. The next prime is 10101011047. The reversal of 10101011029 is 92011010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9384378129 + 716632900 = 96873^2 + 26770^2 .

It is an emirp because it is prime and its reverse (92011010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101011029 - 213 = 10101002837 is a prime.

It is a super-3 number, since 3×101010110293 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101011009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050505514 + 5050505515.

It is an arithmetic number, because the mean of its divisors is an integer number (5050505515).

Almost surely, 210101011029 is an apocalyptic number.

It is an amenable number.

10101011029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101011029 is an equidigital number, since it uses as much as digits as its factorization.

10101011029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 10101011029 in words is "ten billion, one hundred one million, eleven thousand, twenty-nine".