10010001112101 has 6 divisors (see below), whose sum is σ = 14458890495270. Its totient is φ = 6673334074728.

The previous prime is 10010001112087. The next prime is 10010001112121. The reversal of 10010001112101 is 10121110001001.

It can be written as a sum of positive squares in only one way, i.e., 6879840473025 + 3130160639076 = 2622945^2 + 1769226^2 .

It is not a de Polignac number, because 10010001112101 - 2⁶ = 10010001112037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1112222345789 = 10010001112101 / (1 + 0 + 0 + 1 + 0 + 0 + 0 + 1 + 1 + 1 + 2 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010001112121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 556111172886 + ... + 556111172903.

It is an arithmetic number, because the mean of its divisors is an integer number (2409815082545).

Almost surely, 2^{10010001112101} is an apocalyptic number.

It is an amenable number.

10010001112101 is a deficient number, since it is larger than the sum of its proper divisors (4448889383169).

10010001112101 is a wasteful number, since it uses less digits than its factorization.

10010001112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112222345795 (or 1112222345792 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10010001112101 its reverse (10121110001001), we get a palindrome (20131111113102).

Subtracting 10010001112101 from its reverse (10121110001001), we obtain a square (111108888900 = 333330²).

The spelling of 10010001112101 in words is "ten trillion, ten billion, one million, one hundred twelve thousand, one hundred one".