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12101013101 = 41809364829
BaseRepresentation
bin10110100010100011…
…01100111001101101
31011020100012011021102
423101101230321231
5144240324404401
65320434412445
7605605625402
oct132121547155
934210164242
1012101013101
11514a785281
122418731125
1311ab0714a8
1482b1d42a9
154ac57556b
hex2d146ce6d

12101013101 has 8 divisors (see below), whose sum is σ = 12411516600. Its totient is φ = 11791240960.

The previous prime is 12101013047. The next prime is 12101013107. The reversal of 12101013101 is 10131010121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3613813225 + 8487199876 = 60115^2 + 92126^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12101013101 - 214 = 12100996717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101013107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149246 + ... + 215583.

It is an arithmetic number, because the mean of its divisors is an integer number (1551439575).

Almost surely, 212101013101 is an apocalyptic number.

It is an amenable number.

12101013101 is a deficient number, since it is larger than the sum of its proper divisors (310503499).

12101013101 is an equidigital number, since it uses as much as digits as its factorization.

12101013101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365679.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 12101013101 its reverse (10131010121), we get a palindrome (22232023222).

The spelling of 12101013101 in words is "twelve billion, one hundred one million, thirteen thousand, one hundred one".

Divisors: 1 41 809 33169 364829 14957989 295146661 12101013101