101120311200000 has 1728 divisors, whose sum is σ = 367280226561024. Its totient is φ = 24600576000000.

The previous prime is 101120311199993. The next prime is 101120311200037. The reversal of 101120311200000 is 2113021101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 218402399769 + ... + 218402400231.

It is an arithmetic number, because the mean of its divisors is an integer number (212546427408).

Almost surely, 2^{101120311200000} is an apocalyptic number.

101120311200000 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 101120311200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183640113280512).

101120311200000 is an abundant number, since it is smaller than the sum of its proper divisors (266159915361024).

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

101120311200000 is an equidigital number, since it uses as much as digits as its factorization.

101120311200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101120311200000 its reverse (2113021101), we get a palindrome (101122424221101).

The spelling of 101120311200000 in words is "one hundred one trillion, one hundred twenty billion, three hundred eleven million, two hundred thousand".