10112102211101 has 8 divisors (see below), whose sum is σ = 11031628072608. Its totient is φ = 9192616990000.

The previous prime is 10112102211067. The next prime is 10112102211103. The reversal of 10112102211101 is 10111220121101.

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 10112102211101 - 2²⁶ = 10112035102237 is a prime.

It is a super-3 number, since 3×10112102211101³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112102211103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9638675 + ... + 10636176.

It is an arithmetic number, because the mean of its divisors is an integer number (1378953509076).

Almost surely, 2^{10112102211101} is an apocalyptic number.

10112102211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112102211101 is a deficient number, since it is larger than the sum of its proper divisors (919525861507).

10112102211101 is a wasteful number, since it uses less digits than its factorization.

10112102211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20320203.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10112102211101 its reverse (10111220121101), we get a palindrome (20223322332202).

Subtracting from 10112102211101 its reverse (10111220121101), we obtain a square (882090000 = 29700²).

The spelling of 10112102211101 in words is "ten trillion, one hundred twelve billion, one hundred two million, two hundred eleven thousand, one hundred one".