10110222222100 has 288 divisors, whose sum is σ = 29475536944896. Its totient is φ = 2906985369600.

The previous prime is 10110222222091. The next prime is 10110222222119. The reversal of 10110222222100 is 122222201101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161429992 + ... + 161492608.

It is an arithmetic number, because the mean of its divisors is an integer number (102345614392).

Almost surely, 2^{10110222222100} is an apocalyptic number.

10110222222100 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 10110222222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14737768472448).

10110222222100 is an abundant number, since it is smaller than the sum of its proper divisors (19365314722796).

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

10110222222100 is a wasteful number, since it uses less digits than its factorization.

10110222222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64275 (or 64268 counting only the distinct ones).

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

Adding to 10110222222100 its reverse (122222201101), we get a palindrome (10232444423201).

It can be divided in two parts, 101 and 10222222100, that added together give a palindrome (10222222201).

The spelling of 10110222222100 in words is "ten trillion, one hundred ten billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred".