101010010011001 has 24 divisors (see below), whose sum is σ = 125725650776640. Its totient is φ = 79458042396096.

The previous prime is 101010010010981. The next prime is 101010010011151. The reversal of 101010010011001 is 100110010010101.

It is a happy number.

It is not a de Polignac number, because 101010010011001 - 2¹⁷ = 101010009879929 is a prime.

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

It is a Duffinian number.

101010010011001 is a modest number, since divided by 10011001 gives 1010100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (101010010011901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246571711 + ... + 246981028.

It is an arithmetic number, because the mean of its divisors is an integer number (5238568782360).

Almost surely, 2^{101010010011001} is an apocalyptic number.

It is an amenable number.

101010010011001 is a deficient number, since it is larger than the sum of its proper divisors (24715640765639).

101010010011001 is a wasteful number, since it uses less digits than its factorization.

101010010011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493552945 (or 493552932 counting only the distinct ones).

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

Adding to 101010010011001 its reverse (100110010010101), we get a palindrome (201120020021102).

The spelling of 101010010011001 in words is "one hundred one trillion, ten billion, ten million, eleven thousand, one".