101101121201220 has 144 divisors (see below), whose sum is σ = 329805090151488. Its totient is φ = 23073438554880.

The previous prime is 101101121201123. The next prime is 101101121201281. The reversal of 101101121201220 is 22102121101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101101121201220.

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 47 ways as a sum of consecutive naturals, for example, 24411066 + ... + 28250705.

It is an arithmetic number, because the mean of its divisors is an integer number (2290313126052).

Almost surely, 2^{101101121201220} is an apocalyptic number.

101101121201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101121201220 is an abundant number, since it is smaller than the sum of its proper divisors (228703968950268).

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

101101121201220 is a wasteful number, since it uses less digits than its factorization.

101101121201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52662450 (or 52662441 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101101121201220 its reverse (22102121101101), we get a palindrome (123203242302321).

The spelling of 101101121201220 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-one million, two hundred one thousand, two hundred twenty".