10010001000061 has 8 divisors (see below), whose sum is σ = 10180984341240. Its totient is φ = 9840317912832.

The previous prime is 10010001000059. The next prime is 10010001000089. The reversal of 10010001000061 is 16000010001001.

10010001000061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1207594396836 + 8802406603225 = 1098906^2 + 2966885^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10010001000061 - 2¹ = 10010001000059 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010001000661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325047960 + ... + 325078753.

It is an arithmetic number, because the mean of its divisors is an integer number (1272623042655).

Almost surely, 2^{10010001000061} is an apocalyptic number.

It is an amenable number.

10010001000061 is a deficient number, since it is larger than the sum of its proper divisors (170983341179).

10010001000061 is an equidigital number, since it uses as much as digits as its factorization.

10010001000061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650126975.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10010001000061 its reverse (16000010001001), we get a palindrome (26010011001062).

The spelling of 10010001000061 in words is "ten trillion, ten billion, one million, sixty-one", and thus it is an aban number and an uban number.