100212412335432 has 128 divisors (see below), whose sum is σ = 256003711488000. Its totient is φ = 32678154080000.

The previous prime is 100212412335419. The next prime is 100212412335457. The reversal of 100212412335432 is 234533214212001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100212412335393 and 100212412335402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6279358669 + ... + 6279374627.

It is an arithmetic number, because the mean of its divisors is an integer number (2000028996000).

Almost surely, 2^{100212412335432} is an apocalyptic number.

100212412335432 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 100212412335432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128001855744000).

100212412335432 is an abundant number, since it is smaller than the sum of its proper divisors (155791299152568).

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

100212412335432 is a wasteful number, since it uses less digits than its factorization.

100212412335432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30131 (or 30127 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 100212412335432 its reverse (234533214212001), we get a palindrome (334745626547433).

The spelling of 100212412335432 in words is "one hundred trillion, two hundred twelve billion, four hundred twelve million, three hundred thirty-five thousand, four hundred thirty-two".