4101101011201 has 8 divisors (see below), whose sum is σ = 4358018577960. Its totient is φ = 3845925259008.

The previous prime is 4101101011169. The next prime is 4101101011243. The reversal of 4101101011201 is 1021101011014.

It can be written as a sum of positive squares in 4 ways, for example, as 1491632312976 + 2609468698225 = 1221324^2 + 1615385^2 .

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 4101101011201 - 2⁵ = 4101101011169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4101101011001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435448786 + ... + 435458203.

It is an arithmetic number, because the mean of its divisors is an integer number (544752322245).

Almost surely, 2^{4101101011201} is an apocalyptic number.

It is an amenable number.

4101101011201 is a deficient number, since it is larger than the sum of its proper divisors (256917566759).

4101101011201 is a wasteful number, since it uses less digits than its factorization.

4101101011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870907283.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 4101101011201 its reverse (1021101011014), we get a palindrome (5122202022215).

The spelling of 4101101011201 in words is "four trillion, one hundred one billion, one hundred one million, eleven thousand, two hundred one".