101101011022001 has 8 divisors (see below), whose sum is σ = 101772456383808. Its totient is φ = 100429590690000.

The previous prime is 101101011021949. The next prime is 101101011022007. The reversal of 101101011022001 is 100220110101101.

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 101101011022001 - 2¹⁸ = 101101010759857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101011022007) 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, 1882871 + ... + 14343891.

It is an arithmetic number, because the mean of its divisors is an integer number (12721557047976).

Almost surely, 2^{101101011022001} is an apocalyptic number.

It is an amenable number.

101101011022001 is a deficient number, since it is larger than the sum of its proper divisors (671445361807).

101101011022001 is a wasteful number, since it uses less digits than its factorization.

101101011022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12514903.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101101011022001 its reverse (100220110101101), we get a palindrome (201321121123102).

The spelling of 101101011022001 in words is "one hundred one trillion, one hundred one billion, eleven million, twenty-two thousand, one".