101221211120 has 20 divisors (see below), whose sum is σ = 235339316040. Its totient is φ = 40488484416.

The previous prime is 101221211101. The next prime is 101221211159. The reversal of 101221211120 is 21112122101.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×101221211120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101221211095 and 101221211104.

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 3 ways as a sum of consecutive naturals, for example, 632632490 + ... + 632632649.

It is an arithmetic number, because the mean of its divisors is an integer number (11766965802).

Almost surely, 2^101221211120 is an apocalyptic number.

101221211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221211120 is an abundant number, since it is smaller than the sum of its proper divisors (134118104920).

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

101221211120 is a wasteful number, since it uses less digits than its factorization.

101221211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265265152 (or 1265265146 counting only the distinct ones).

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

Adding to 101221211120 its reverse (21112122101), we get a palindrome (122333333221).

The spelling of 101221211120 in words is "one hundred one billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".