1001022122120 has 128 divisors (see below), whose sum is σ = 2294853120000. Its totient is φ = 392930764800.

The previous prime is 1001022122101. The next prime is 1001022122147. The reversal of 1001022122120 is 212212201001.

It is a junction number, because it is equal to n+sod(n) for n = 1001022122095 and 1001022122104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215317556 + ... + 215322204.

It is an arithmetic number, because the mean of its divisors is an integer number (17928540000).

Almost surely, 2^{1001022122120} is an apocalyptic number.

1001022122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001022122120 is an abundant number, since it is smaller than the sum of its proper divisors (1293830997880).

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

1001022122120 is a wasteful number, since it uses less digits than its factorization.

1001022122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223 (or 5219 counting only the distinct ones).

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

Adding to 1001022122120 its reverse (212212201001), we get a palindrome (1213234323121).

It can be divided in two parts, 100102 and 2122120, that added together give a palindrome (2222222).

The spelling of 1001022122120 in words is "one trillion, one billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty".