10121202121212 has 432 divisors, whose sum is σ = 32574227212800. Its totient is φ = 2592606362112.

The previous prime is 10121202121211. The next prime is 10121202121223. The reversal of 10121202121212 is 21212120212101.

10121202121212 is a `hidden beast` number, since 10 + 121 + 202 + 121 + 212 = 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 (10121202121211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 943872483 + ... + 943883205.

Almost surely, 2^{10121202121212} is an apocalyptic number.

10121202121212 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 10121202121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16287113606400).

10121202121212 is an abundant number, since it is smaller than the sum of its proper divisors (22453025091588).

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

10121202121212 is a wasteful number, since it uses less digits than its factorization.

10121202121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11402 (or 11384 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10121202121212 its reverse (21212120212101), we get a palindrome (31333322333313).

The spelling of 10121202121212 in words is "ten trillion, one hundred twenty-one billion, two hundred two million, one hundred twenty-one thousand, two hundred twelve".