4002112100101 has 4 divisors (see below), whose sum is σ = 4010869457452. Its totient is φ = 3993354742752.

The previous prime is 4002112100087. The next prime is 4002112100177. The reversal of 4002112100101 is 1010012112004.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3690356260900 + 311755839201 = 1921030^2 + 558351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4002112100101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002112100801) 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, 4378677990 + ... + 4378678903.

It is an arithmetic number, because the mean of its divisors is an integer number (1002717364363).

Almost surely, 2^{4002112100101} is an apocalyptic number.

It is an amenable number.

4002112100101 is a deficient number, since it is larger than the sum of its proper divisors (8757357351).

4002112100101 is an equidigital number, since it uses as much as digits as its factorization.

4002112100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8757357350.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 4002112100101 its reverse (1010012112004), we get a palindrome (5012124212105).

The spelling of 4002112100101 in words is "four trillion, two billion, one hundred twelve million, one hundred thousand, one hundred one".