101110221220120 has 64 divisors (see below), whose sum is σ = 260916431742720. Its totient is φ = 34543865556864.

The previous prime is 101110221220103. The next prime is 101110221220123. The reversal of 101110221220120 is 21022122011101.

It is a super-3 number, since 3×101110221220120³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101110221220094 and 101110221220103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110221220123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637920642 + ... + 638079121.

It is an arithmetic number, because the mean of its divisors is an integer number (4076819245980).

Almost surely, 2^{101110221220120} is an apocalyptic number.

101110221220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110221220120 is an abundant number, since it is smaller than the sum of its proper divisors (159806210522600).

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

101110221220120 is a wasteful number, since it uses less digits than its factorization.

101110221220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276000064 (or 1276000060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101110221220120 its reverse (21022122011101), we get a palindrome (122132343231221).

The spelling of 101110221220120 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty-one million, two hundred twenty thousand, one hundred twenty".