10112201121000 has 512 divisors, whose sum is σ = 35391172976640. Its totient is φ = 2382307200000.

The previous prime is 10112201120999. The next prime is 10112201121017. The reversal of 10112201121000 is 12110221101.

It is a super-2 number, since 2×10112201121000² (a number of 27 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 1112326455 + ... + 1112335545.

It is an arithmetic number, because the mean of its divisors is an integer number (69123384720).

Almost surely, 2^{10112201121000} is an apocalyptic number.

10112201121000 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 10112201121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17695586488320).

10112201121000 is an abundant number, since it is smaller than the sum of its proper divisors (25278971855640).

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

10112201121000 is a wasteful number, since it uses less digits than its factorization.

10112201121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10074 (or 10060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10112201121000 its reverse (12110221101), we get a palindrome (10124311342101).

It can be divided in two parts, 10112201 and 121000, that added together give a palindrome (10233201).

The spelling of 10112201121000 in words is "ten trillion, one hundred twelve billion, two hundred one million, one hundred twenty-one thousand".