101120120222220 has 192 divisors, whose sum is σ = 343541891911680. Its totient is φ = 24489230515200.

The previous prime is 101120120222213. The next prime is 101120120222237. The reversal of 101120120222220 is 22222021021101.

It is a happy number.

101120120222220 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 201 + 20 + 222 + 220 = 666.

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 = 101120120222193 and 101120120222202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2702557 + ... + 14475636.

It is an arithmetic number, because the mean of its divisors is an integer number (1789280687040).

Almost surely, 2^{101120120222220} is an apocalyptic number.

101120120222220 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 101120120222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171770945955840).

101120120222220 is an abundant number, since it is smaller than the sum of its proper divisors (242421771689460).

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

101120120222220 is a wasteful number, since it uses less digits than its factorization.

101120120222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17179213 (or 17179205 counting only the distinct ones).

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

Adding to 101120120222220 its reverse (22222021021101), we get a palindrome (123342141243321).

The spelling of 101120120222220 in words is "one hundred one trillion, one hundred twenty billion, one hundred twenty million, two hundred twenty-two thousand, two hundred twenty".