101110101221120 has 72 divisors (see below), whose sum is σ = 252720301984416. Its totient is φ = 38685603934208.

The previous prime is 101110101221047. The next prime is 101110101221147. The reversal of 101110101221120 is 21122101011101.

It is a junction number, because it is equal to n+sod(n) for n = 101110101221095 and 101110101221104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1717193747 + ... + 1717252626.

It is an arithmetic number, because the mean of its divisors is an integer number (3510004194228).

Almost surely, 2^{101110101221120} is an apocalyptic number.

101110101221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110101221120 is an abundant number, since it is smaller than the sum of its proper divisors (151610200763296).

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

101110101221120 is an equidigital number, since it uses as much as digits as its factorization.

101110101221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434446417 (or 3434446403 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101110101221120 its reverse (21122101011101), we get a palindrome (122232202232221).

The spelling of 101110101221120 in words is "one hundred one trillion, one hundred ten billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".