10001021011011 has 32 divisors (see below), whose sum is σ = 15161284427520. Its totient is φ = 6512124693312.

The previous prime is 10001021010991. The next prime is 10001021011019. The reversal of 10001021011011 is 11011012010001.

It is not a de Polignac number, because 10001021011011 - 2⁹ = 10001021010499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001021010984 and 10001021011002.

It is not an unprimeable number, because it can be changed into a prime (10001021011019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57955720 + ... + 58128026.

It is an arithmetic number, because the mean of its divisors is an integer number (473790138360).

Almost surely, 2^{10001021011011} is an apocalyptic number.

10001021011011 is a deficient number, since it is larger than the sum of its proper divisors (5160263416509).

10001021011011 is a wasteful number, since it uses less digits than its factorization.

10001021011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222352 (or 222346 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10001021011011 its reverse (11011012010001), we get a palindrome (21012033021012).

The spelling of 10001021011011 in words is "ten trillion, one billion, twenty-one million, eleven thousand, eleven".