10100101001011 has 8 divisors (see below), whose sum is σ = 11547144250880. Its totient is φ = 8654100670728.

The previous prime is 10100101000903. The next prime is 10100101001021. The reversal of 10100101001011 is 11010010100101.

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 10100101001011 - 2¹³ = 10100100992819 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10100101000985 and 10100101001003.

It is not an unprimeable number, because it can be changed into a prime (10100101001021) 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, 260709141 + ... + 260747878.

It is an arithmetic number, because the mean of its divisors is an integer number (1443393031360).

Almost surely, 2^{10100101001011} is an apocalyptic number.

10100101001011 is a deficient number, since it is larger than the sum of its proper divisors (1447043249869).

10100101001011 is an equidigital number, since it uses as much as digits as its factorization.

10100101001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521459793.

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

Adding to 10100101001011 its reverse (11010010100101), we get a palindrome (21110111101112).

The spelling of 10100101001011 in words is "ten trillion, one hundred billion, one hundred one million, one thousand, eleven".