101200111000000 has 196 divisors, whose sum is σ = 259676453442600. Its totient is φ = 39084169600000.

The previous prime is 101200110999991. The next prime is 101200111000031. The reversal of 101200111000000 is 111002101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27255171 + ... + 30744829.

Almost surely, 2^{101200111000000} is an apocalyptic number.

101200111000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101200111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129838226721300).

101200111000000 is an abundant number, since it is smaller than the sum of its proper divisors (158476342442600).

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

101200111000000 is an frugal number, since it uses more digits than its factorization.

101200111000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489730 (or 3489695 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101200111000000 its reverse (111002101), we get a palindrome (101200222002101).

The spelling of 101200111000000 in words is "one hundred one trillion, two hundred billion, one hundred eleven million", and thus it is an aban number.