100212140146932 has 288 divisors, whose sum is σ = 296208969638400. Its totient is φ = 28243970092800.

The previous prime is 100212140146931. The next prime is 100212140147023. The reversal of 100212140146932 is 239641041212001.

100212140146932 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 121 + 40 + 1 + 469 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212140146931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 335895307 + ... + 336193517.

It is an arithmetic number, because the mean of its divisors is an integer number (1028503366800).

Almost surely, 2^{100212140146932} is an apocalyptic number.

100212140146932 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 100212140146932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148104484819200).

100212140146932 is an abundant number, since it is smaller than the sum of its proper divisors (195996829491468).

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

100212140146932 is a wasteful number, since it uses less digits than its factorization.

100212140146932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299067 (or 299062 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 100212140146932 its reverse (239641041212001), we get a palindrome (339853181358933).

The spelling of 100212140146932 in words is "one hundred trillion, two hundred twelve billion, one hundred forty million, one hundred forty-six thousand, nine hundred thirty-two".