10112000221101 has 16 divisors (see below), whose sum is σ = 13880111313600. Its totient is φ = 6543480987648.

The previous prime is 10112000221067. The next prime is 10112000221153. The reversal of 10112000221101 is 10112200021101.

It is not a de Polignac number, because 10112000221101 - 2¹⁴ = 10112000204717 is a prime.

It is a super-3 number, since 3×10112000221101³ (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 (10112000221201) 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 15 ways as a sum of consecutive naturals, for example, 108663636 + ... + 108756653.

It is an arithmetic number, because the mean of its divisors is an integer number (867506957100).

Almost surely, 2^{10112000221101} is an apocalyptic number.

It is an amenable number.

10112000221101 is a deficient number, since it is larger than the sum of its proper divisors (3768111092499).

10112000221101 is a wasteful number, since it uses less digits than its factorization.

10112000221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217420748.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10112000221101 its reverse (10112200021101), we get a palindrome (20224200242202).

The spelling of 10112000221101 in words is "ten trillion, one hundred twelve billion, two hundred twenty-one thousand, one hundred one".