10012221201120 has 48 divisors (see below), whose sum is σ = 31538496785040. Its totient is φ = 2669925653504.

The previous prime is 10012221201119. The next prime is 10012221201121. The reversal of 10012221201120 is 2110212221001.

It is an interprime number because it is at equal distance from previous prime (10012221201119) and next prime (10012221201121).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10012221201120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012221201121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10429396605 + ... + 10429397564.

It is an arithmetic number, because the mean of its divisors is an integer number (657052016355).

Almost surely, 2^{10012221201120} is an apocalyptic number.

10012221201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012221201120 is an abundant number, since it is smaller than the sum of its proper divisors (21526275583920).

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

10012221201120 is a wasteful number, since it uses less digits than its factorization.

10012221201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20858794187 (or 20858794179 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10012221201120 its reverse (2110212221001), we get a palindrome (12122433422121).

The spelling of 10012221201120 in words is "ten trillion, twelve billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty".