1020101110101 has 48 divisors (see below), whose sum is σ = 1626236823744. Its totient is φ = 613469210112.

The previous prime is 1020101110043. The next prime is 1020101110103. The reversal of 1020101110101 is 1010111010201.

1020101110101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1020101110101 - 2⁹ = 1020101109589 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020101110103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 965475 + ... + 1724048.

It is an arithmetic number, because the mean of its divisors is an integer number (33879933828).

Almost surely, 2^{1020101110101} is an apocalyptic number.

It is an amenable number.

1020101110101 is a deficient number, since it is larger than the sum of its proper divisors (606135713643).

1020101110101 is a wasteful number, since it uses less digits than its factorization.

1020101110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689650 (or 2689647 counting only the distinct ones).

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

Adding to 1020101110101 its reverse (1010111010201), we get a palindrome (2030212120302).

The spelling of 1020101110101 in words is "one trillion, twenty billion, one hundred one million, one hundred ten thousand, one hundred one".