10101005061 has 16 divisors (see below), whose sum is σ = 15397392000. Its totient is φ = 5769983808.

The previous prime is 10101005029. The next prime is 10101005077. The reversal of 10101005061 is 16050010101.

It is not a de Polignac number, because 10101005061 - 2⁵ = 10101005029 is a prime.

It is a super-2 number, since 2×10101005061² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10101005061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101005021) 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 15 ways as a sum of consecutive naturals, for example, 21586 + ... + 143763.

It is an arithmetic number, because the mean of its divisors is an integer number (962337000).

Almost surely, 2^10101005061 is an apocalyptic number.

It is an amenable number.

10101005061 is a deficient number, since it is larger than the sum of its proper divisors (5296386939).

10101005061 is a wasteful number, since it uses less digits than its factorization.

10101005061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168268.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 10101005061 its reverse (16050010101), we get a palindrome (26151015162).

It can be divided in two parts, 1010 and 1005061, that added together give a triangular number (1006071 = T₁₄₁₈).

The spelling of 10101005061 in words is "ten billion, one hundred one million, five thousand, sixty-one".