10010111021011 has 16 divisors (see below), whose sum is σ = 10222007760000. Its totient is φ = 9800245099008.

The previous prime is 10010111020963. The next prime is 10010111021039. The reversal of 10010111021011 is 11012011101001.

10010111021011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10010111021011 - 2¹⁷ = 10010110889939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010111021611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207486630 + ... + 207534868.

It is an arithmetic number, because the mean of its divisors is an integer number (638875485000).

Almost surely, 2^{10010111021011} is an apocalyptic number.

10010111021011 is a deficient number, since it is larger than the sum of its proper divisors (211896738989).

10010111021011 is a wasteful number, since it uses less digits than its factorization.

10010111021011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69198.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10010111021011 its reverse (11012011101001), we get a palindrome (21022122122012).

The spelling of 10010111021011 in words is "ten trillion, ten billion, one hundred eleven million, twenty-one thousand, eleven".