101000010111001 has 16 divisors (see below), whose sum is σ = 107111169114768. Its totient is φ = 94907782144000.

The previous prime is 101000010110999. The next prime is 101000010111019. The reversal of 101000010111001 is 100111010000101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10427577638976 + 90572432472025 = 3229176^2 + 9516955^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000010111001 - 2¹ = 101000010110999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000010111061) 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, 72877161 + ... + 74250121.

It is an arithmetic number, because the mean of its divisors is an integer number (6694448069673).

Almost surely, 2^{101000010111001} is an apocalyptic number.

It is an amenable number.

101000010111001 is a deficient number, since it is larger than the sum of its proper divisors (6111159003767).

101000010111001 is a wasteful number, since it uses less digits than its factorization.

101000010111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379852.

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

Adding to 101000010111001 its reverse (100111010000101), we get a palindrome (201111020111102).

The spelling of 101000010111001 in words is "one hundred one trillion, ten million, one hundred eleven thousand, one".