101110200222220 has 288 divisors, whose sum is σ = 261004911552000. Its totient is φ = 32138537453568.

The previous prime is 101110200222173. The next prime is 101110200222221. The reversal of 101110200222220 is 22222002011101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101110200222194 and 101110200222203.

It is not an unprimeable number, because it can be changed into a prime (101110200222221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1875892831 + ... + 1875946729.

It is an arithmetic number, because the mean of its divisors is an integer number (906267054000).

Almost surely, 2^{101110200222220} is an apocalyptic number.

101110200222220 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 101110200222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130502455776000).

101110200222220 is an abundant number, since it is smaller than the sum of its proper divisors (159894711329780).

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

101110200222220 is a wasteful number, since it uses less digits than its factorization.

101110200222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54205 (or 54124 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101110200222220 its reverse (22222002011101), we get a palindrome (123332202233321).

The spelling of 101110200222220 in words is "one hundred one trillion, one hundred ten billion, two hundred million, two hundred twenty-two thousand, two hundred twenty".