101200102001 has 8 divisors (see below), whose sum is σ = 101994205824. Its totient is φ = 100407628800.

The previous prime is 101200101943. The next prime is 101200102013. The reversal of 101200102001 is 100201002101.

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 101200102001 - 2³⁴ = 84020232817 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 101200102001.

It is not an unprimeable number, because it can be changed into a prime (101200102061) 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, 282896 + ... + 531441.

It is an arithmetic number, because the mean of its divisors is an integer number (12749275728).

Almost surely, 2^101200102001 is an apocalyptic number.

It is an amenable number.

101200102001 is a deficient number, since it is larger than the sum of its proper divisors (794103823).

101200102001 is an equidigital number, since it uses as much as digits as its factorization.

101200102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815311.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101200102001 its reverse (100201002101), we get a palindrome (201401104102).

The spelling of 101200102001 in words is "one hundred one billion, two hundred million, one hundred two thousand, one".