10012110221120 has 112 divisors (see below), whose sum is σ = 27265649718528. Its totient is φ = 3430404526080.

The previous prime is 10012110221117. The next prime is 10012110221129. The reversal of 10012110221120 is 2112201121001.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 10012110221095 and 10012110221104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012110221129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1808429 + ... + 4826451.

Almost surely, 2^{10012110221120} is an apocalyptic number.

10012110221120 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 10012110221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632824859264).

10012110221120 is an abundant number, since it is smaller than the sum of its proper divisors (17253539497408).

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

10012110221120 is a wasteful number, since it uses less digits than its factorization.

10012110221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019528 (or 3019518 counting only the distinct ones).

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

Adding to 10012110221120 its reverse (2112201121001), we get a palindrome (12124311342121).

The spelling of 10012110221120 in words is "ten trillion, twelve billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty".