2002112232101 has 8 divisors (see below), whose sum is σ = 2053653575064. Its totient is φ = 1950699905280.

The previous prime is 2002112232079. The next prime is 2002112232139. The reversal of 2002112232101 is 1012322112002.

It can be written as a sum of positive squares in 4 ways, for example, as 400049925025 + 1602062307076 = 632495^2 + 1265726^2 .

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 2002112232101 - 2²⁶ = 2002045123237 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 2002112232101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002112232161) 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, 32222600 + ... + 32284673.

It is an arithmetic number, because the mean of its divisors is an integer number (256706696883).

Almost surely, 2^{2002112232101} is an apocalyptic number.

It is an amenable number.

2002112232101 is a deficient number, since it is larger than the sum of its proper divisors (51541342963).

2002112232101 is an equidigital number, since it uses as much as digits as its factorization.

2002112232101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64508071.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2002112232101 its reverse (1012322112002), we get a palindrome (3014434344103).

The spelling of 2002112232101 in words is "two trillion, two billion, one hundred twelve million, two hundred thirty-two thousand, one hundred one".