100121187852 has 216 divisors, whose sum is σ = 310088653056. Its totient is φ = 27105414336.

The previous prime is 100121187841. The next prime is 100121187883. The reversal of 100121187852 is 258781121001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4329673 + ... + 4352735.

It is an arithmetic number, because the mean of its divisors is an integer number (1435595616).

Almost surely, 2^100121187852 is an apocalyptic number.

100121187852 is a gapful number since it is divisible by the number (12) 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 100121187852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155044326528).

100121187852 is an abundant number, since it is smaller than the sum of its proper divisors (209967465204).

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

100121187852 is a wasteful number, since it uses less digits than its factorization.

100121187852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23217 (or 23205 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

The spelling of 100121187852 in words is "one hundred billion, one hundred twenty-one million, one hundred eighty-seven thousand, eight hundred fifty-two".