10112211010101 has 32 divisors (see below), whose sum is σ = 13856702502528. Its totient is φ = 6554844794880.

The previous prime is 10112211010051. The next prime is 10112211010117. The reversal of 10112211010101 is 10101011221101.

It is a de Polignac number, because none of the positive numbers 2^k-10112211010101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112211010151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1909042285 + ... + 1909047581.

It is an arithmetic number, because the mean of its divisors is an integer number (433021953204).

Almost surely, 2^{10112211010101} is an apocalyptic number.

It is an amenable number.

10112211010101 is a deficient number, since it is larger than the sum of its proper divisors (3744491492427).

10112211010101 is a wasteful number, since it uses less digits than its factorization.

10112211010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13701.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10112211010101 its reverse (10101011221101), we get a palindrome (20213222231202).

The spelling of 10112211010101 in words is "ten trillion, one hundred twelve billion, two hundred eleven million, ten thousand, one hundred one".