10102007061 has 6 divisors (see below), whose sum is σ = 14591787990. Its totient is φ = 6734671368.

The previous prime is 10102007017. The next prime is 10102007093. The reversal of 10102007061 is 16070020101.

It can be written as a sum of positive squares in only one way, i.e., 9608900625 + 493106436 = 98025^2 + 22206^2 .

It is not a de Polignac number, because 10102007061 - 2¹⁰ = 10102006037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102107061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561222606 + ... + 561222623.

It is an arithmetic number, because the mean of its divisors is an integer number (2431964665).

Almost surely, 2^10102007061 is an apocalyptic number.

It is an amenable number.

10102007061 is a deficient number, since it is larger than the sum of its proper divisors (4489780929).

10102007061 is a wasteful number, since it uses less digits than its factorization.

10102007061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122445235 (or 1122445232 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 10102007061 its reverse (16070020101), we get a palindrome (26172027162).

The spelling of 10102007061 in words is "ten billion, one hundred two million, seven thousand, sixty-one".