1021101221120 has 72 divisors (see below), whose sum is σ = 2446477417440. Its totient is φ = 408336803840.

The previous prime is 1021101221117. The next prime is 1021101221123. The reversal of 1021101221120 is 211221011201.

It is an interprime number because it is at equal distance from previous prime (1021101221117) and next prime (1021101221123).

It is a junction number, because it is equal to n+sod(n) for n = 1021101221095 and 1021101221104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021101221123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5045075 + ... + 5243565.

It is an arithmetic number, because the mean of its divisors is an integer number (33978853020).

Almost surely, 2^{1021101221120} is an apocalyptic number.

1021101221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021101221120 is an abundant number, since it is smaller than the sum of its proper divisors (1425376196320).

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

1021101221120 is an equidigital number, since it uses as much as digits as its factorization.

1021101221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202531 (or 202517 counting only the distinct ones).

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

Adding to 1021101221120 its reverse (211221011201), we get a palindrome (1232322232321).

The spelling of 1021101221120 in words is "one trillion, twenty-one billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".