101011001001 has 8 divisors (see below), whose sum is σ = 134692136064. Its totient is φ = 67335266640.

The previous prime is 101011000999. The next prime is 101011001033. The reversal of 101011001001 is 100100110101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101011001001 - 2¹ = 101011000999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101011001041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1306330 + ... + 1381491.

It is an arithmetic number, because the mean of its divisors is an integer number (16836517008).

Almost surely, 2^101011001001 is an apocalyptic number.

It is an amenable number.

101011001001 is a deficient number, since it is larger than the sum of its proper divisors (33681135063).

101011001001 is a wasteful number, since it uses less digits than its factorization.

101011001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700351.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101011001001 its reverse (100100110101), we get a palindrome (201111111102).

It can be divided in two parts, 10101 and 1001001, that multiplied together give a palindrome (10111111101).

The spelling of 101011001001 in words is "one hundred one billion, eleven million, one thousand, one".