101011001001001 has 16 divisors (see below), whose sum is σ = 124335573868800. Its totient is φ = 79911572228928.

The previous prime is 101011001000977. The next prime is 101011001001007. The reversal of 101011001001001 is 100100100110101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101011001001001 - 2¹³ = 101011000992809 is a prime.

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

101011001001001 is a modest number, since divided by 1001001 gives 101011 as remainder.

It is not an unprimeable number, because it can be changed into a prime (101011001001007) 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, 63232981 + ... + 64810738.

It is an arithmetic number, because the mean of its divisors is an integer number (7770973366800).

Almost surely, 2^{101011001001001} is an apocalyptic number.

It is an amenable number.

101011001001001 is a deficient number, since it is larger than the sum of its proper divisors (23324572867799).

101011001001001 is a wasteful number, since it uses less digits than its factorization.

101011001001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128052408.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101011001001001 its reverse (100100100110101), we get a palindrome (201111101111102).

It can be divided in two parts, 10101 and 1001001001, that multiplied together give a palindrome (10111111111101).

The spelling of 101011001001001 in words is "one hundred one trillion, eleven billion, one million, one thousand, one".