112201000111101 has 64 divisors (see below), whose sum is σ = 167725987946496. Its totient is φ = 66141876926400.

The previous prime is 112201000111049. The next prime is 112201000111117. The reversal of 112201000111101 is 101111000102211.

It is not a de Polignac number, because 112201000111101 - 2¹⁵ = 112201000078333 is a prime.

It is a super-2 number, since 2×112201000111101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112201000112101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332173240 + ... + 332510846.

It is an arithmetic number, because the mean of its divisors is an integer number (2620718561664).

Almost surely, 2^{112201000111101} is an apocalyptic number.

112201000111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112201000111101 is a deficient number, since it is larger than the sum of its proper divisors (55524987835395).

112201000111101 is a wasteful number, since it uses less digits than its factorization.

112201000111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339582.

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

Adding to 112201000111101 its reverse (101111000102211), we get a palindrome (213312000213312).

The spelling of 112201000111101 in words is "one hundred twelve trillion, two hundred one billion, one hundred eleven thousand, one hundred one".