100112222011110 has 128 divisors (see below), whose sum is σ = 255321961574400. Its totient is φ = 25074479485440.

The previous prime is 100112222011079. The next prime is 100112222011117. The reversal of 100112222011110 is 11110222211001.

It is a happy number.

It is a super-3 number, since 3×100112222011110³ (a number of 43 digits) contains 333 as substring.

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 100112222011110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112222011117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166153771 + ... + 166755209.

It is an arithmetic number, because the mean of its divisors is an integer number (1994702824800).

Almost surely, 2^{100112222011110} is an apocalyptic number.

100112222011110 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 100112222011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127660980787200).

100112222011110 is an abundant number, since it is smaller than the sum of its proper divisors (155209739563290).

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

100112222011110 is a wasteful number, since it uses less digits than its factorization.

100112222011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606686.

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

Adding to 100112222011110 its reverse (11110222211001), we get a palindrome (111222444222111).

It can be divided in two parts, 100112 and 222011110, that added together give a palindrome (222111222).

The spelling of 100112222011110 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-two million, eleven thousand, one hundred ten".