100202121210012 has 24 divisors (see below), whose sum is σ = 233822107349376. Its totient is φ = 33398255947248.

The previous prime is 100202121210011. The next prime is 100202121210041. The reversal of 100202121210012 is 210012121202001.

100202121210012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100202121209973 and 100202121210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202121210011) 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, 306220008 + ... + 306547055.

It is an arithmetic number, because the mean of its divisors is an integer number (9742587806224).

Almost surely, 2^{100202121210012} is an apocalyptic number.

100202121210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100202121210012 is an abundant number, since it is smaller than the sum of its proper divisors (133619986139364).

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

100202121210012 is a wasteful number, since it uses less digits than its factorization.

100202121210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612780697 (or 612780695 counting only the distinct ones).

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

Adding to 100202121210012 its reverse (210012121202001), we get a palindrome (310214242412013).

The spelling of 100202121210012 in words is "one hundred trillion, two hundred two billion, one hundred twenty-one million, two hundred ten thousand, twelve".