1010110011001 has 16 divisors (see below), whose sum is σ = 1243740040704. Its totient is φ = 798868672704.

The previous prime is 1010110010911. The next prime is 1010110011059. The reversal of 1010110011001 is 1001100110101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1010110011001 - 2¹¹ = 1010110008953 is a prime.

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

1010110011001 is a modest number, since divided by 10011001 gives 10101 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1010110011091) 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, 2140225 + ... + 2569198.

It is an arithmetic number, because the mean of its divisors is an integer number (77733752544).

Almost surely, 2^{1010110011001} is an apocalyptic number.

It is an amenable number.

1010110011001 is a deficient number, since it is larger than the sum of its proper divisors (233630029703).

1010110011001 is a wasteful number, since it uses less digits than its factorization.

1010110011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711800.

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

Adding to 1010110011001 its reverse (1001100110101), we get a palindrome (2011210121102).

It can be divided in two parts, 10101 and 10011001, that multiplied together give a palindrome (101121121101).

The spelling of 1010110011001 in words is "one trillion, ten billion, one hundred ten million, eleven thousand, one".