10612016257101 has 32 divisors (see below), whose sum is σ = 16503388473600. Its totient is φ = 6063023316672.

The previous prime is 10612016257099. The next prime is 10612016257147. The reversal of 10612016257101 is 10175261021601.

It is not a de Polignac number, because 10612016257101 - 2¹ = 10612016257099 is a prime.

It is a super-2 number, since 2×10612016257101² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10612016257181) 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 31 ways as a sum of consecutive naturals, for example, 5516691 + ... + 7187343.

It is an arithmetic number, because the mean of its divisors is an integer number (515730889800).

Almost surely, 2^{10612016257101} is an apocalyptic number.

It is an amenable number.

10612016257101 is a deficient number, since it is larger than the sum of its proper divisors (5891372216499).

10612016257101 is an equidigital number, since it uses as much as digits as its factorization.

10612016257101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676850 (or 1676836 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

Adding to 10612016257101 its reverse (10175261021601), we get a palindrome (20787277278702).

The spelling of 10612016257101 in words is "ten trillion, six hundred twelve billion, sixteen million, two hundred fifty-seven thousand, one hundred one".