100121066430 has 288 divisors, whose sum is σ = 314759481120. Its totient is φ = 20295475200.

The previous prime is 100121066411. The next prime is 100121066473. The reversal of 100121066430 is 34660121001.

It is a self number, because there is not a number n which added to its sum of digits gives 100121066430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7285806 + ... + 7299534.

It is an arithmetic number, because the mean of its divisors is an integer number (1092914865).

Almost surely, 2^100121066430 is an apocalyptic number.

100121066430 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 100121066430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157379740560).

100121066430 is an abundant number, since it is smaller than the sum of its proper divisors (214638414690).

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

100121066430 is a wasteful number, since it uses less digits than its factorization.

100121066430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13816 (or 13798 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 100121066430 its reverse (34660121001), we get a palindrome (134781187431).

The spelling of 100121066430 in words is "one hundred billion, one hundred twenty-one million, sixty-six thousand, four hundred thirty".