10121212102100 has 72 divisors (see below), whose sum is σ = 24179483143200. Its totient is φ = 3646675209600.

The previous prime is 10121212102097. The next prime is 10121212102103. The reversal of 10121212102100 is 120121212101.

It is an interprime number because it is at equal distance from previous prime (10121212102097) and next prime (10121212102103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121212102103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42086990 + ... + 42326789.

Almost surely, 2^{10121212102100} is an apocalyptic number.

10121212102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121212102100 is an abundant number, since it is smaller than the sum of its proper divisors (14058271041100).

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

10121212102100 is a wasteful number, since it uses less digits than its factorization.

10121212102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84413913 (or 84413906 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10121212102100 its reverse (120121212101), we get a palindrome (10241333314201).

The spelling of 10121212102100 in words is "ten trillion, one hundred twenty-one billion, two hundred twelve million, one hundred two thousand, one hundred".