101220221022120 has 192 divisors, whose sum is σ = 348559741267920. Its totient is φ = 25386560520192.

The previous prime is 101220221022101. The next prime is 101220221022157. The reversal of 101220221022120 is 21220122022101.

It is a happy number.

101220221022120 is a `hidden beast` number, since 1 + 0 + 1 + 220 + 221 + 0 + 221 + 2 + 0 = 666.

101220221022120 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 89415595584324 + 11804625437796 = 9455982^2 + 3435786^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101220221022093 and 101220221022102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2999112 + ... + 14540808.

Almost surely, 2^{101220221022120} is an apocalyptic number.

101220221022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101220221022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174279870633960).

101220221022120 is an abundant number, since it is smaller than the sum of its proper divisors (247339520245800).

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

101220221022120 is a wasteful number, since it uses less digits than its factorization.

101220221022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11543164 (or 11543157 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101220221022120 its reverse (21220122022101), we get a palindrome (122440343044221).

The spelling of 101220221022120 in words is "one hundred one trillion, two hundred twenty billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty".