10112101220000 has 240 divisors, whose sum is σ = 27051100876800. Its totient is φ = 3697439616000.

The previous prime is 10112101219999. The next prime is 10112101220003. The reversal of 10112101220000 is 2210121101.

It is not an unprimeable number, because it can be changed into a prime (10112101220003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26591201 + ... + 26968799.

It is an arithmetic number, because the mean of its divisors is an integer number (112712920320).

Almost surely, 2^{10112101220000} is an apocalyptic number.

10112101220000 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 10112101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13525550438400).

10112101220000 is an abundant number, since it is smaller than the sum of its proper divisors (16938999656800).

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

10112101220000 is a wasteful number, since it uses less digits than its factorization.

10112101220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377745 (or 377722 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10112101220000 its reverse (2210121101), we get a palindrome (10114311341101).

The spelling of 10112101220000 in words is "ten trillion, one hundred twelve billion, one hundred one million, two hundred twenty thousand".