221010101102120 has 64 divisors (see below), whose sum is σ = 542481227000640. Its totient is φ = 80367029798400.

The previous prime is 221010101102117. The next prime is 221010101102123. The reversal of 221010101102120 is 21201101010122.

It is an interprime number because it is at equal distance from previous prime (221010101102117) and next prime (221010101102123).

It is a super-3 number, since 3×221010101102120³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221010101102095 and 221010101102104.

It is not an unprimeable number, because it can be changed into a prime (221010101102123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158816459 + ... + 160202021.

It is an arithmetic number, because the mean of its divisors is an integer number (8476269171885).

Almost surely, 2^{221010101102120} is an apocalyptic number.

221010101102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010101102120 is an abundant number, since it is smaller than the sum of its proper divisors (321471125898520).

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

221010101102120 is a wasteful number, since it uses less digits than its factorization.

221010101102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748106 (or 1748102 counting only the distinct ones).

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

Adding to 221010101102120 its reverse (21201101010122), we get a palindrome (242211202112242).

The spelling of 221010101102120 in words is "two hundred twenty-one trillion, ten billion, one hundred one million, one hundred two thousand, one hundred twenty".