10001021222120 has 64 divisors (see below), whose sum is σ = 22601410560000. Its totient is φ = 3982795790848.

The previous prime is 10001021222083. The next prime is 10001021222123. The reversal of 10001021222120 is 2122212010001.

It is a junction number, because it is equal to n+sod(n) for n = 10001021222095 and 10001021222104.

It is not an unprimeable number, because it can be changed into a prime (10001021222123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44331929 + ... + 44556951.

It is an arithmetic number, because the mean of its divisors is an integer number (353147040000).

Almost surely, 2^{10001021222120} is an apocalyptic number.

10001021222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001021222120 is an abundant number, since it is smaller than the sum of its proper divisors (12600389337880).

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

10001021222120 is a wasteful number, since it uses less digits than its factorization.

10001021222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229922 (or 229918 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10001021222120 its reverse (2122212010001), we get a palindrome (12123233232121).

It can be divided in two parts, 1000102 and 1222120, that added together give a palindrome (2222222).

The spelling of 10001021222120 in words is "ten trillion, one billion, twenty-one million, two hundred twenty-two thousand, one hundred twenty".