1010110201011 has 48 divisors (see below), whose sum is σ = 1541918327040. Its totient is φ = 636357565440.

The previous prime is 1010110200977. The next prime is 1010110201013. The reversal of 1010110201011 is 1101020110101.

It is not a de Polignac number, because 1010110201011 - 2¹¹ = 1010110198963 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 = 1010110200984 and 1010110201002.

It is not an unprimeable number, because it can be changed into a prime (1010110201013) 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 47 ways as a sum of consecutive naturals, for example, 2878735 + ... + 3210503.

It is an arithmetic number, because the mean of its divisors is an integer number (32123298480).

Almost surely, 2^{1010110201011} is an apocalyptic number.

1010110201011 is a deficient number, since it is larger than the sum of its proper divisors (531808126029).

1010110201011 is a wasteful number, since it uses less digits than its factorization.

1010110201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332076 (or 332073 counting only the distinct ones).

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

Adding to 1010110201011 its reverse (1101020110101), we get a palindrome (2111130311112).

It can be divided in two parts, 1010110 and 201011, that added together give a palindrome (1211121).

The spelling of 1010110201011 in words is "one trillion, ten billion, one hundred ten million, two hundred one thousand, eleven".