100101210100110 has 256 divisors, whose sum is σ = 270486090547200. Its totient is φ = 26341217884800.

The previous prime is 100101210100079. The next prime is 100101210100127. The reversal of 100101210100110 is 11001012101001.

100101210100110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100101210100092 and 100101210100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9545261287 + ... + 9545271773.

It is an arithmetic number, because the mean of its divisors is an integer number (1056586291200).

Almost surely, 2^{100101210100110} is an apocalyptic number.

100101210100110 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 100101210100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135243045273600).

100101210100110 is an abundant number, since it is smaller than the sum of its proper divisors (170384880447090).

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

100101210100110 is a wasteful number, since it uses less digits than its factorization.

100101210100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12124 (or 12118 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100101210100110 its reverse (11001012101001), we get a palindrome (111102222201111).

The spelling of 100101210100110 in words is "one hundred trillion, one hundred one billion, two hundred ten million, one hundred thousand, one hundred ten".