101011002001 has 16 divisors (see below), whose sum is σ = 124334898688. Its totient is φ = 79912008000.

The previous prime is 101011001977. The next prime is 101011002011. The reversal of 101011002001 is 100200110101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011002001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (101011002011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844936 + ... + 957046.

It is an arithmetic number, because the mean of its divisors is an integer number (7770931168).

Almost surely, 2^101011002001 is an apocalyptic number.

It is an amenable number.

101011002001 is a deficient number, since it is larger than the sum of its proper divisors (23323896687).

101011002001 is a wasteful number, since it uses less digits than its factorization.

101011002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122032.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101011002001 its reverse (100200110101), we get a palindrome (201211112102).

It can be divided in two parts, 10101 and 1002001, that multiplied together give a palindrome (10121212101).

The spelling of 101011002001 in words is "one hundred one billion, eleven million, two thousand, one".