10202121210012 has 48 divisors (see below), whose sum is σ = 24489976748160. Its totient is φ = 3303159193152.

The previous prime is 10202121210011. The next prime is 10202121210019. The reversal of 10202121210012 is 21001212120201.

It is a junction number, because it is equal to n+sod(n) for n = 10202121209973 and 10202121210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202121210011) 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 15 ways as a sum of consecutive naturals, for example, 19311562 + ... + 19832817.

It is an arithmetic number, because the mean of its divisors is an integer number (510207848920).

Almost surely, 2^{10202121210012} is an apocalyptic number.

10202121210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10202121210012 is an abundant number, since it is smaller than the sum of its proper divisors (14287855538148).

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

10202121210012 is a wasteful number, since it uses less digits than its factorization.

10202121210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39145010 (or 39145008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10202121210012 its reverse (21001212120201), we get a palindrome (31203333330213).

The spelling of 10202121210012 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, two hundred ten thousand, twelve".