1012020110101 has 16 divisors (see below), whose sum is σ = 1358796233088. Its totient is φ = 727926552000.

The previous prime is 1012020110077. The next prime is 1012020110107. The reversal of 1012020110101 is 1010110202101.

It is a cyclic number.

It is not a de Polignac number, because 1012020110101 - 2¹⁵ = 1012020077333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012020110107) 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 15 ways as a sum of consecutive naturals, for example, 505503550 + ... + 505505551.

It is an arithmetic number, because the mean of its divisors is an integer number (84924764568).

Almost surely, 2^{1012020110101} is an apocalyptic number.

1012020110101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012020110101 is a deficient number, since it is larger than the sum of its proper divisors (346776122987).

1012020110101 is a wasteful number, since it uses less digits than its factorization.

1012020110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011009132.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1012020110101 its reverse (1010110202101), we get a palindrome (2022130312202).

It can be divided in two parts, 101 and 2020110101, that added together give a palindrome (2020110202).

The spelling of 1012020110101 in words is "one trillion, twelve billion, twenty million, one hundred ten thousand, one hundred one".