101001101222120 has 64 divisors (see below), whose sum is σ = 262494840628800. Its totient is φ = 34567221806080.

The previous prime is 101001101222111. The next prime is 101001101222159. The reversal of 101001101222120 is 21222101100101.

It is a junction number, because it is equal to n+sod(n) for n = 101001101222095 and 101001101222104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6751403030 + ... + 6751417989.

It is an arithmetic number, because the mean of its divisors is an integer number (4101481884825).

Almost surely, 2^{101001101222120} is an apocalyptic number.

101001101222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001101222120 is an abundant number, since it is smaller than the sum of its proper divisors (161493739406680).

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

101001101222120 is a wasteful number, since it uses less digits than its factorization.

101001101222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13502821058 (or 13502821054 counting only the distinct ones).

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

Adding to 101001101222120 its reverse (21222101100101), we get a palindrome (122223202322221).

The spelling of 101001101222120 in words is "one hundred one trillion, one billion, one hundred one million, two hundred twenty-two thousand, one hundred twenty".