101122112210000 has 200 divisors, whose sum is σ = 281477488871040. Its totient is φ = 34462827072000.

The previous prime is 101122112209999. The next prime is 101122112210003. The reversal of 101122112210000 is 12211221101.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122112210003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 7364846 + ... + 16015154.

Almost surely, 2^{101122112210000} is an apocalyptic number.

101122112210000 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 101122112210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140738744435520).

101122112210000 is an abundant number, since it is smaller than the sum of its proper divisors (180355376661040).

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

101122112210000 is an equidigital number, since it uses as much as digits as its factorization.

101122112210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8650511 (or 8650490 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101122112210000 its reverse (12211221101), we get a palindrome (101134323431101).

The spelling of 101122112210000 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twelve million, two hundred ten thousand".