101011200012 has 120 divisors (see below), whose sum is σ = 287546674800. Its totient is φ = 30798278784.

The previous prime is 101011200007. The next prime is 101011200019. The reversal of 101011200012 is 210002110101.

It is a happy number.

101011200012 is digitally balanced in base 3, 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 = 101011199967 and 101011200003.

It is not an unprimeable number, because it can be changed into a prime (101011200019) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104383 + ... + 461430.

It is an arithmetic number, because the mean of its divisors is an integer number (2396222290).

Almost surely, 2^101011200012 is an apocalyptic number.

101011200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101011200012 is an abundant number, since it is smaller than the sum of its proper divisors (186535474788).

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

101011200012 is a wasteful number, since it uses less digits than its factorization.

101011200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565877 (or 565866 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101011200012 its reverse (210002110101), we get a palindrome (311013310113).

The spelling of 101011200012 in words is "one hundred one billion, eleven million, two hundred thousand, twelve".