10032121012212 has 144 divisors (see below), whose sum is σ = 28922370422400. Its totient is φ = 2908528660224.

The previous prime is 10032121012211. The next prime is 10032121012219. The reversal of 10032121012212 is 21221012123001.

10032121012212 is a `hidden beast` number, since 1 + 0 + 0 + 321 + 210 + 122 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032121012211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6234087 + ... + 7676462.

It is an arithmetic number, because the mean of its divisors is an integer number (200849794600).

Almost surely, 2^{10032121012212} is an apocalyptic number.

10032121012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10032121012212 is an abundant number, since it is smaller than the sum of its proper divisors (18890249410188).

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

10032121012212 is a wasteful number, since it uses less digits than its factorization.

10032121012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13910662 (or 13910657 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10032121012212 its reverse (21221012123001), we get a palindrome (31253133135213).

The spelling of 10032121012212 in words is "ten trillion, thirty-two billion, one hundred twenty-one million, twelve thousand, two hundred twelve".