101101221011020 has 48 divisors (see below), whose sum is σ = 220039664947200. Its totient is φ = 38973814951680.

The previous prime is 101101221011017. The next prime is 101101221011059. The reversal of 101101221011020 is 20110122101101.

It is a happy number.

It is a super-2 number, since 2×101101221011020² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160788300 + ... + 161415859.

It is an arithmetic number, because the mean of its divisors is an integer number (4584159686400).

Almost surely, 2^{101101221011020} is an apocalyptic number.

101101221011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101221011020 is an abundant number, since it is smaller than the sum of its proper divisors (118938443936180).

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

101101221011020 is a wasteful number, since it uses less digits than its factorization.

101101221011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322204738 (or 322204736 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101101221011020 its reverse (20110122101101), we get a palindrome (121211343112121).

The spelling of 101101221011020 in words is "one hundred one trillion, one hundred one billion, two hundred twenty-one million, eleven thousand, twenty".