10001121112220 has 96 divisors (see below), whose sum is σ = 25268964940800. Its totient is φ = 3248101983744.

The previous prime is 10001121112219. The next prime is 10001121112243. The reversal of 10001121112220 is 2221112110001.

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 = 10001121112195 and 10001121112204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22826576 + ... + 23260584.

It is an arithmetic number, because the mean of its divisors is an integer number (263218384800).

Almost surely, 2^{10001121112220} is an apocalyptic number.

10001121112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001121112220 is an abundant number, since it is smaller than the sum of its proper divisors (15267843828580).

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

10001121112220 is a wasteful number, since it uses less digits than its factorization.

10001121112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442707 (or 442705 counting only the distinct ones).

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

Adding to 10001121112220 its reverse (2221112110001), we get a palindrome (12222233222221).

The spelling of 10001121112220 in words is "ten trillion, one billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twenty".