10101001010011 has 8 divisors (see below), whose sum is σ = 10560328277760. Its totient is φ = 9643353184872.

The previous prime is 10101001009999. The next prime is 10101001010027. The reversal of 10101001010011 is 11001010010101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 10101001010011 - 2¹⁷ = 10101000878939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101001009976 and 10101001010003.

It is not an unprimeable number, because it can be changed into a prime (10101001010081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419848351 + ... + 419872408.

It is an arithmetic number, because the mean of its divisors is an integer number (1320041034720).

Almost surely, 2^{10101001010011} is an apocalyptic number.

10101001010011 is a deficient number, since it is larger than the sum of its proper divisors (459327267749).

10101001010011 is an equidigital number, since it uses as much as digits as its factorization.

10101001010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839721305.

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

Adding to 10101001010011 its reverse (11001010010101), we get a palindrome (21102011020112).

The spelling of 10101001010011 in words is "ten trillion, one hundred one billion, one million, ten thousand, eleven".