1010021001011 has 16 divisors (see below), whose sum is σ = 1116576921600. Its totient is φ = 905993934720.

The previous prime is 1010021000977. The next prime is 1010021001013. The reversal of 1010021001011 is 1101001200101.

It is a happy number.

It is not a de Polignac number, because 1010021001011 - 2¹⁰ = 1010020999987 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1010021001011.

It is not an unprimeable number, because it can be changed into a prime (1010021001013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1544711 + ... + 2099088.

It is an arithmetic number, because the mean of its divisors is an integer number (69786057600).

Almost surely, 2^{1010021001011} is an apocalyptic number.

1010021001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1010021001011 is a deficient number, since it is larger than the sum of its proper divisors (106555920589).

1010021001011 is a wasteful number, since it uses less digits than its factorization.

1010021001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644146.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1010021001011 its reverse (1101001200101), we get a palindrome (2111022201112).

The spelling of 1010021001011 in words is "one trillion, ten billion, twenty-one million, one thousand, eleven".