100211114140 has 144 divisors (see below), whose sum is σ = 235202032800. Its totient is φ = 35804704768.

The previous prime is 100211114117. The next prime is 100211114207. The reversal of 100211114140 is 41411112001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9884514 + ... + 9894646.

It is an arithmetic number, because the mean of its divisors is an integer number (1633347450).

Almost surely, 2^100211114140 is an apocalyptic number.

100211114140 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 100211114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117601016400).

100211114140 is an abundant number, since it is smaller than the sum of its proper divisors (134990918660).

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

100211114140 is a wasteful number, since it uses less digits than its factorization.

100211114140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10264 (or 10245 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100211114140 its reverse (41411112001), we get a palindrome (141622226141).

The spelling of 100211114140 in words is "one hundred billion, two hundred eleven million, one hundred fourteen thousand, one hundred forty".