10021001200112 has 160 divisors (see below), whose sum is σ = 22755686400000. Its totient is φ = 4186464922368.

The previous prime is 10021001200079. The next prime is 10021001200121. The reversal of 10021001200112 is 21100210012001.

It is a super-2 number, since 2×10021001200112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10021001200093 and 10021001200102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424624889 + ... + 424648487.

It is an arithmetic number, because the mean of its divisors is an integer number (142223040000).

Almost surely, 2^{10021001200112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021001200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11377843200000).

10021001200112 is an abundant number, since it is smaller than the sum of its proper divisors (12734685199888).

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

10021001200112 is a wasteful number, since it uses less digits than its factorization.

10021001200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24211 (or 24205 counting only the distinct ones).

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

Adding to 10021001200112 its reverse (21100210012001), we get a palindrome (31121211212113).

The spelling of 10021001200112 in words is "ten trillion, twenty-one billion, one million, two hundred thousand, one hundred twelve".