101101121102120 has 32 divisors (see below), whose sum is σ = 232767697425120. Its totient is φ = 39499972895040.

The previous prime is 101101121102057. The next prime is 101101121102197. The reversal of 101101121102120 is 21201121101101.

It is a junction number, because it is equal to n+sod(n) for n = 101101121102095 and 101101121102104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29389859066 + ... + 29389862505.

It is an arithmetic number, because the mean of its divisors is an integer number (7273990544535).

Almost surely, 2^{101101121102120} is an apocalyptic number.

101101121102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101121102120 is an abundant number, since it is smaller than the sum of its proper divisors (131666576323000).

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

101101121102120 is a wasteful number, since it uses less digits than its factorization.

101101121102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58779721625 (or 58779721621 counting only the distinct ones).

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

Adding to 101101121102120 its reverse (21201121101101), we get a palindrome (122302242203221).

The spelling of 101101121102120 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty".