101001111012 has 72 divisors (see below), whose sum is σ = 275300494560. Its totient is φ = 31117150080.

The previous prime is 101001111011. The next prime is 101001111037. The reversal of 101001111012 is 210111100101.

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 = 101001110985 and 101001111003.

It is not an unprimeable number, because it can be changed into a prime (101001111011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1772718 + ... + 1828805.

It is an arithmetic number, because the mean of its divisors is an integer number (3823617980).

Almost surely, 2^101001111012 is an apocalyptic number.

101001111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001111012 is an abundant number, since it is smaller than the sum of its proper divisors (174299383548).

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

101001111012 is a wasteful number, since it uses less digits than its factorization.

101001111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601593 (or 3601588 counting only the distinct ones).

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

Adding to 101001111012 its reverse (210111100101), we get a palindrome (311112211113).

The spelling of 101001111012 in words is "one hundred one billion, one million, one hundred eleven thousand, twelve".