32121002112101 has 72 divisors (see below), whose sum is σ = 38200564952280. Its totient is φ = 26928959791104.

The previous prime is 32121002112097. The next prime is 32121002112107. The reversal of 32121002112101 is 10121120012123.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2160694204900 + 29960307907201 = 1469930^2 + 5473601^2 .

It is not a de Polignac number, because 32121002112101 - 2² = 32121002112097 is a prime.

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 32121002112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32121002112107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14919182441 + ... + 14919184593.

It is an arithmetic number, because the mean of its divisors is an integer number (530563402115).

Almost surely, 2^{32121002112101} is an apocalyptic number.

It is an amenable number.

32121002112101 is a deficient number, since it is larger than the sum of its proper divisors (6079562840179).

32121002112101 is a wasteful number, since it uses less digits than its factorization.

32121002112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 32121002112101 its reverse (10121120012123), we get a palindrome (42242122124224).

The spelling of 32121002112101 in words is "thirty-two trillion, one hundred twenty-one billion, two million, one hundred twelve thousand, one hundred one".