10121112061 has 12 divisors (see below), whose sum is σ = 10757298420. Its totient is φ = 9520609280.

The previous prime is 10121112041. The next prime is 10121112091. The reversal of 10121112061 is 16021112101.

It can be written as a sum of positive squares in 6 ways, for example, as 77264100 + 10043847961 = 8790^2 + 100219^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10121112061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121112041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 592995 + ... + 609823.

It is an arithmetic number, because the mean of its divisors is an integer number (896441535).

Almost surely, 2^10121112061 is an apocalyptic number.

It is an amenable number.

10121112061 is a deficient number, since it is larger than the sum of its proper divisors (636186359).

10121112061 is a wasteful number, since it uses less digits than its factorization.

10121112061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18944 (or 18927 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10121112061 its reverse (16021112101), we get a palindrome (26142224162).

The spelling of 10121112061 in words is "ten billion, one hundred twenty-one million, one hundred twelve thousand, sixty-one".