101200111100000 has 576 divisors, whose sum is σ = 275279662848960. Its totient is φ = 36312883200000.

The previous prime is 101200111099981. The next prime is 101200111100029. The reversal of 101200111100000 is 1111002101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78026299352 + ... + 78026300648.

It is an arithmetic number, because the mean of its divisors is an integer number (477916081335).

Almost surely, 2^{101200111100000} is an apocalyptic number.

101200111100000 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 101200111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137639831424480).

101200111100000 is an abundant number, since it is smaller than the sum of its proper divisors (174079551748960).

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

101200111100000 is an equidigital number, since it uses as much as digits as its factorization.

101200111100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101200111100000 its reverse (1111002101), we get a palindrome (101201222102101).

The spelling of 101200111100000 in words is "one hundred one trillion, two hundred billion, one hundred eleven million, one hundred thousand".