101200110012 has 18 divisors (see below), whose sum is σ = 255811389288. Its totient is φ = 33733369992.

The previous prime is 101200110007. The next prime is 101200110019. The reversal of 101200110012 is 210011002101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

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 = 101200109976 and 101200110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200110019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1405557048 + ... + 1405557119.

Almost surely, 2^101200110012 is an apocalyptic number.

101200110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101200110012 is an abundant number, since it is smaller than the sum of its proper divisors (154611279276).

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

101200110012 is a wasteful number, since it uses less digits than its factorization.

101200110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811114177 (or 2811114172 counting only the distinct ones).

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

Adding to 101200110012 its reverse (210011002101), we get a palindrome (311211112113).

The spelling of 101200110012 in words is "one hundred one billion, two hundred million, one hundred ten thousand, twelve".