10120010101011 has 12 divisors (see below), whose sum is σ = 14618215993888. Its totient is φ = 6746477881104.

The previous prime is 10120010100961. The next prime is 10120010101073. The reversal of 10120010101011 is 11010101002101.

It is not a de Polignac number, because 10120010101011 - 2⁷ = 10120010100883 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10120010100984 and 10120010101002.

It is not an unprimeable number, because it can be changed into a prime (10120010101811) 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 11 ways as a sum of consecutive naturals, for example, 15965140 + ... + 16586913.

Almost surely, 2^{10120010101011} is an apocalyptic number.

10120010101011 is a deficient number, since it is larger than the sum of its proper divisors (4498205892877).

10120010101011 is a wasteful number, since it uses less digits than its factorization.

10120010101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32586602 (or 32586599 counting only the distinct ones).

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

Adding to 10120010101011 its reverse (11010101002101), we get a palindrome (21130111103112).

The spelling of 10120010101011 in words is "ten trillion, one hundred twenty billion, ten million, one hundred one thousand, eleven".