10010221112120 has 128 divisors (see below), whose sum is σ = 23035513536000. Its totient is φ = 3914048140800.

The previous prime is 10010221112069. The next prime is 10010221112159. The reversal of 10010221112120 is 2121112201001.

It is a super-2 number, since 2×10010221112120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010221112095 and 10010221112104.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 542873861 + ... + 542892299.

It is an arithmetic number, because the mean of its divisors is an integer number (179964949500).

Almost surely, 2^{10010221112120} is an apocalyptic number.

10010221112120 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 10010221112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11517756768000).

10010221112120 is an abundant number, since it is smaller than the sum of its proper divisors (13025292423880).

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

10010221112120 is a wasteful number, since it uses less digits than its factorization.

10010221112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20253 (or 20249 counting only the distinct ones).

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

Adding to 10010221112120 its reverse (2121112201001), we get a palindrome (12131333313121).

The spelling of 10010221112120 in words is "ten trillion, ten billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty".