10101211160617 has 24 divisors (see below), whose sum is σ = 10977782902272. Its totient is φ = 9290170444800.

The previous prime is 10101211160611. The next prime is 10101211160653. The reversal of 10101211160617 is 71606111210101.

10101211160617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10101211160617 - 2²³ = 10101202772009 is a prime.

It is a super-2 number, since 2×10101211160617² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101211160611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140392 + ... + 4496902.

It is an arithmetic number, because the mean of its divisors is an integer number (457407620928).

Almost surely, 2^{10101211160617} is an apocalyptic number.

10101211160617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10101211160617 is a deficient number, since it is larger than the sum of its proper divisors (876571741655).

10101211160617 is a wasteful number, since it uses less digits than its factorization.

10101211160617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356729 (or 4356712 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 28.

Adding to 10101211160617 its reverse (71606111210101), we get a palindrome (81707322370718).

The spelling of 10101211160617 in words is "ten trillion, one hundred one billion, two hundred eleven million, one hundred sixty thousand, six hundred seventeen".