1010110110021 has 6 divisors (see below), whose sum is σ = 1459047936710. Its totient is φ = 673406740008.

The previous prime is 1010110109993. The next prime is 1010110110029. The reversal of 1010110110021 is 1200110110101.

It can be written as a sum of positive squares in only one way, i.e., 824030033121 + 186080076900 = 907761^2 + 431370^2 .

It is not a de Polignac number, because 1010110110021 - 2⁹ = 1010110109509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 112234456669 = 1010110110021 / (1 + 0 + 1 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 0 + 2 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010110109985 and 1010110110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010110110029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56117228326 + ... + 56117228343.

Almost surely, 2^{1010110110021} is an apocalyptic number.

It is an amenable number.

1010110110021 is a deficient number, since it is larger than the sum of its proper divisors (448937826689).

1010110110021 is a wasteful number, since it uses less digits than its factorization.

1010110110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112234456675 (or 112234456672 counting only the distinct ones).

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

Adding to 1010110110021 its reverse (1200110110101), we get a palindrome (2210220220122).

The spelling of 1010110110021 in words is "one trillion, ten billion, one hundred ten million, one hundred ten thousand, twenty-one".