101111022220120 has 64 divisors (see below), whose sum is σ = 249467515230240. Its totient is φ = 36577138483200.

The previous prime is 101111022220111. The next prime is 101111022220127. The reversal of 101111022220120 is 21022220111101.

101111022220120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101111022220094 and 101111022220103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111022220127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595246111 + ... + 595415950.

Almost surely, 2^{101111022220120} is an apocalyptic number.

101111022220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111022220120 is an abundant number, since it is smaller than the sum of its proper divisors (148356493010120).

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

101111022220120 is a wasteful number, since it uses less digits than its factorization.

101111022220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190662276 (or 1190662272 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101111022220120 its reverse (21022220111101), we get a palindrome (122133242331221).

The spelling of 101111022220120 in words is "one hundred one trillion, one hundred eleven billion, twenty-two million, two hundred twenty thousand, one hundred twenty".