1010111100012 has 72 divisors (see below), whose sum is σ = 2929724808192. Its totient is φ = 287453340000.

The previous prime is 1010111100007. The next prime is 1010111100041. The reversal of 1010111100012 is 2100011110101.

1010111100012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1010111099967 and 1010111100003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7921564 + ... + 8048067.

It is an arithmetic number, because the mean of its divisors is an integer number (40690622336).

Almost surely, 2^{1010111100012} is an apocalyptic number.

1010111100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010111100012 is an abundant number, since it is smaller than the sum of its proper divisors (1919613708180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010111100012 is a wasteful number, since it uses less digits than its factorization.

1010111100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15969899 (or 15969894 counting only the distinct ones).

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

Adding to 1010111100012 its reverse (2100011110101), we get a palindrome (3110122210113).

The spelling of 1010111100012 in words is "one trillion, ten billion, one hundred eleven million, one hundred thousand, twelve".