100212235140 has 96 divisors (see below), whose sum is σ = 285629742720. Its totient is φ = 26244582400.

The previous prime is 100212235127. The next prime is 100212235177. The reversal of 100212235140 is 41532212001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3742600 + ... + 3769280.

It is an arithmetic number, because the mean of its divisors is an integer number (2975309820).

Almost surely, 2^100212235140 is an apocalyptic number.

100212235140 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 100212235140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142814871360).

100212235140 is an abundant number, since it is smaller than the sum of its proper divisors (185417507580).

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

100212235140 is a wasteful number, since it uses less digits than its factorization.

100212235140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27813 (or 27811 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 100212235140 its reverse (41532212001), we get a palindrome (141744447141).

The spelling of 100212235140 in words is "one hundred billion, two hundred twelve million, two hundred thirty-five thousand, one hundred forty".