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10100101110001 = 72206124512449
BaseRepresentation
bin1001001011111001110011…
…1100000101100011110001
31022202120010102010111220221
42102332130330011203301
52310440001341010001
633251531123133041
72061464630630200
oct222763474054361
938676112114827
1010100101110001
113244479849601
121171573514181
135835878a9a66
1426cbc178d237
15127ad7ea11a1
hex92f9cf058f1

10100101110001 has 6 divisors (see below), whose sum is σ = 11749097209650. Its totient is φ = 8657229522816.

The previous prime is 10100101109999. The next prime is 10100101110017. The reversal of 10100101110001 is 10001110100101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6199776304225 + 3900324805776 = 2489935^2 + 1974924^2 .

It is not a de Polignac number, because 10100101110001 - 21 = 10100101109999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100101110041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103062256176 + ... + 103062256273.

It is an arithmetic number, because the mean of its divisors is an integer number (1958182868275).

Almost surely, 210100101110001 is an apocalyptic number.

It is an amenable number.

10100101110001 is a deficient number, since it is larger than the sum of its proper divisors (1648996099649).

10100101110001 is an equidigital number, since it uses as much as digits as its factorization.

10100101110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206124512463 (or 206124512456 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100101110001 its reverse (10001110100101), we get a palindrome (20101211210102).

The spelling of 10100101110001 in words is "ten trillion, one hundred billion, one hundred one million, one hundred ten thousand, one".

Divisors: 1 7 49 206124512449 1442871587143 10100101110001