101011200121220 has 24 divisors (see below), whose sum is σ = 212412911172504. Its totient is φ = 40349357968896.

The previous prime is 101011200121213. The next prime is 101011200121241. The reversal of 101011200121220 is 22121002110101.

101011200121220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42671178453124 + 58340021668096 = 6532318^2 + 7638064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101011200121195 and 101011200121204.

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, 3445114949 + ... + 3445144268.

It is an arithmetic number, because the mean of its divisors is an integer number (8850537965521).

Almost surely, 2^{101011200121220} is an apocalyptic number.

101011200121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011200121220 is an abundant number, since it is smaller than the sum of its proper divisors (111401711051284).

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

101011200121220 is a wasteful number, since it uses less digits than its factorization.

101011200121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890259959 (or 6890259957 counting only the distinct ones).

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

Adding to 101011200121220 its reverse (22121002110101), we get a palindrome (123132202231321).

The spelling of 101011200121220 in words is "one hundred one trillion, eleven billion, two hundred million, one hundred twenty-one thousand, two hundred twenty".