100111232302120 has 128 divisors (see below), whose sum is σ = 244309335580800. Its totient is φ = 36700566230016.

The previous prime is 100111232302117. The next prime is 100111232302171. The reversal of 100111232302120 is 21203232111001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106234371 + ... + 107172589.

It is an arithmetic number, because the mean of its divisors is an integer number (1908666684225).

Almost surely, 2^{100111232302120} is an apocalyptic number.

100111232302120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111232302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122154667790400).

100111232302120 is an abundant number, since it is smaller than the sum of its proper divisors (144198103278680).

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

100111232302120 is a wasteful number, since it uses less digits than its factorization.

100111232302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939707 (or 939703 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100111232302120 its reverse (21203232111001), we get a palindrome (121314464413121).

The spelling of 100111232302120 in words is "one hundred trillion, one hundred eleven billion, two hundred thirty-two million, three hundred two thousand, one hundred twenty".