100211224032 has 48 divisors (see below), whose sum is σ = 292282739280. Its totient is φ = 33403741056.

The previous prime is 100211223979. The next prime is 100211224039. The reversal of 100211224032 is 230422112001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×100211224032³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100211223996 and 100211224014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211224039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57991743 + ... + 57993470.

It is an arithmetic number, because the mean of its divisors is an integer number (6089223735).

Almost surely, 2^100211224032 is an apocalyptic number.

100211224032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100211224032 is an abundant number, since it is smaller than the sum of its proper divisors (192071515248).

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

100211224032 is a wasteful number, since it uses less digits than its factorization.

100211224032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115985232 (or 115985218 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100211224032 its reverse (230422112001), we get a palindrome (330633336033).

The spelling of 100211224032 in words is "one hundred billion, two hundred eleven million, two hundred twenty-four thousand, thirty-two".