100614122100 has 54 divisors (see below), whose sum is σ = 315369378870. Its totient is φ = 26830432320.

The previous prime is 100614122099. The next prime is 100614122101. The reversal of 100614122100 is 1221416001.

It is an interprime number because it is at equal distance from previous prime (100614122099) and next prime (100614122101).

It can be written as a sum of positive squares in 3 ways, for example, as 23727705444 + 76886416656 = 154038^2 + 277284^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100614122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55895835 + ... + 55897634.

Almost surely, 2^100614122100 is an apocalyptic number.

100614122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100614122100 is an abundant number, since it is smaller than the sum of its proper divisors (214755256770).

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

100614122100 is a wasteful number, since it uses less digits than its factorization.

100614122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111793489 (or 111793479 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100614122100 its reverse (1221416001), we get a palindrome (101835538101).

The spelling of 100614122100 in words is "one hundred billion, six hundred fourteen million, one hundred twenty-two thousand, one hundred".