1020100112311 has 12 divisors (see below), whose sum is σ = 1193276392920. Its totient is φ = 869486760240.

The previous prime is 1020100112243. The next prime is 1020100112329. The reversal of 1020100112311 is 1132110010201.

It is a happy number.

It is not a de Polignac number, because 1020100112311 - 2³³ = 1011510177719 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020100112291 and 1020100112300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020100112341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58143100 + ... + 58160641.

It is an arithmetic number, because the mean of its divisors is an integer number (99439699410).

Almost surely, 2^{1020100112311} is an apocalyptic number.

1020100112311 is a deficient number, since it is larger than the sum of its proper divisors (173176280609).

1020100112311 is a wasteful number, since it uses less digits than its factorization.

1020100112311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116303934 (or 116303927 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1020100112311 its reverse (1132110010201), we get a palindrome (2152210122512).

The spelling of 1020100112311 in words is "one trillion, twenty billion, one hundred million, one hundred twelve thousand, three hundred eleven".