100011222211110 has 512 divisors, whose sum is σ = 285601725480960. Its totient is φ = 21941035315200.

The previous prime is 100011222211073. The next prime is 100011222211111. The reversal of 100011222211110 is 11112222110001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100011222211110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011222211111) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 127079062137 + ... + 127079062923.

It is an arithmetic number, because the mean of its divisors is an integer number (557815870080).

Almost surely, 2^{100011222211110} is an apocalyptic number.

100011222211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011222211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142800862740480).

100011222211110 is an abundant number, since it is smaller than the sum of its proper divisors (185590503269850).

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

100011222211110 is a wasteful number, since it uses less digits than its factorization.

100011222211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100011222211110 its reverse (11112222110001), we get a palindrome (111123444321111).

The spelling of 100011222211110 in words is "one hundred trillion, eleven billion, two hundred twenty-two million, two hundred eleven thousand, one hundred ten".