32111121120101 has 64 divisors (see below), whose sum is σ = 35784724631040. Its totient is φ = 28688065781760.

The previous prime is 32111121120077. The next prime is 32111121120139. The reversal of 32111121120101 is 10102112111123.

It is a de Polignac number, because none of the positive numbers 2^k-32111121120101 is a prime.

It is a super-2 number, since 2×32111121120101² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32111121120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32111121140101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8282464175 + ... + 8282468051.

It is an arithmetic number, because the mean of its divisors is an integer number (559136322360).

Almost surely, 2^{32111121120101} is an apocalyptic number.

It is an amenable number.

32111121120101 is a deficient number, since it is larger than the sum of its proper divisors (3673603510939).

32111121120101 is a wasteful number, since it uses less digits than its factorization.

32111121120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 32111121120101 its reverse (10102112111123), we get a palindrome (42213233231224).

The spelling of 32111121120101 in words is "thirty-two trillion, one hundred eleven billion, one hundred twenty-one million, one hundred twenty thousand, one hundred one".