101201002002001 has 16 divisors (see below), whose sum is σ = 111732269019840. Its totient is φ = 90891618320320.

The previous prime is 101201002001977. The next prime is 101201002002013. The reversal of 101201002002001 is 100200200102101.

It is a cyclic number.

It is not a de Polignac number, because 101201002002001 - 2⁷ = 101201002001873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101201002002031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110444931 + ... + 111357463.

It is an arithmetic number, because the mean of its divisors is an integer number (6983266813740).

Almost surely, 2^{101201002002001} is an apocalyptic number.

101201002002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201002002001 is a deficient number, since it is larger than the sum of its proper divisors (10531267017839).

101201002002001 is a wasteful number, since it uses less digits than its factorization.

101201002002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034096.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101201002002001 its reverse (100200200102101), we get a palindrome (201401202104102).

The spelling of 101201002002001 in words is "one hundred one trillion, two hundred one billion, two million, two thousand, one".