10112010000101 has 32 divisors (see below), whose sum is σ = 11071091404800. Its totient is φ = 9194464512000.

The previous prime is 10112010000097. The next prime is 10112010000119. The reversal of 10112010000101 is 10100001021101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10112010000101 - 2² = 10112010000097 is a prime.

It is a super-3 number, since 3×10112010000101³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112010000601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822041651 + ... + 822053951.

It is an arithmetic number, because the mean of its divisors is an integer number (345971606400).

Almost surely, 2^{10112010000101} is an apocalyptic number.

It is an amenable number.

10112010000101 is a deficient number, since it is larger than the sum of its proper divisors (959081404699).

10112010000101 is a wasteful number, since it uses less digits than its factorization.

10112010000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14885.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10112010000101 its reverse (10100001021101), we get a palindrome (20212011021202).

The spelling of 10112010000101 in words is "ten trillion, one hundred twelve billion, ten million, one hundred one", and thus it is an aban number.