101001221120 has 88 divisors (see below), whose sum is σ = 252818976384. Its totient is φ = 38643900416.

The previous prime is 101001221107. The next prime is 101001221149. The reversal of 101001221120 is 21122100101.

It is a super-2 number, since 2×101001221120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311084 + ... + 546603.

Almost surely, 2^101001221120 is an apocalyptic number.

101001221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001221120 is an abundant number, since it is smaller than the sum of its proper divisors (151817755264).

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

101001221120 is an equidigital number, since it uses as much as digits as its factorization.

101001221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857735 (or 857717 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101001221120 its reverse (21122100101), we get a palindrome (122123321221).

The spelling of 101001221120 in words is "one hundred one billion, one million, two hundred twenty-one thousand, one hundred twenty".