10111122112101 has 4 divisors (see below), whose sum is σ = 13481496149472. Its totient is φ = 6740748074732.

The previous prime is 10111122112027. The next prime is 10111122112123. The reversal of 10111122112101 is 10121122111101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10111122112101 - 2¹¹ = 10111122110053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111122113101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1685187018681 + ... + 1685187018686.

It is an arithmetic number, because the mean of its divisors is an integer number (3370374037368).

Almost surely, 2^{10111122112101} is an apocalyptic number.

It is an amenable number.

10111122112101 is a deficient number, since it is larger than the sum of its proper divisors (3370374037371).

10111122112101 is an equidigital number, since it uses as much as digits as its factorization.

10111122112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370374037370.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10111122112101 its reverse (10121122111101), we get a palindrome (20232244223202).

It can be divided in two parts, 1011112 and 2112101, that added together give a palindrome (3123213).

The spelling of 10111122112101 in words is "ten trillion, one hundred eleven billion, one hundred twenty-two million, one hundred twelve thousand, one hundred one".