100102124442330 has 96 divisors (see below), whose sum is σ = 263580573484800. Its totient is φ = 26353947424896.

The previous prime is 100102124442319. The next prime is 100102124442337. The reversal of 100102124442330 is 33244421201001.

100102124442330 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 212 + 4 + 442 + 3 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100102124442294 and 100102124442303.

It is not an unprimeable number, because it can be changed into a prime (100102124442337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91738312 + ... + 92823068.

It is an arithmetic number, because the mean of its divisors is an integer number (2745630973800).

Almost surely, 2^{100102124442330} is an apocalyptic number.

100102124442330 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 100102124442330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131790286742400).

100102124442330 is an abundant number, since it is smaller than the sum of its proper divisors (163478449042470).

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

100102124442330 is a wasteful number, since it uses less digits than its factorization.

100102124442330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097828 (or 1097825 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100102124442330 its reverse (33244421201001), we get a palindrome (133346545643331).

The spelling of 100102124442330 in words is "one hundred trillion, one hundred two billion, one hundred twenty-four million, four hundred forty-two thousand, three hundred thirty".