101212100021120 has 128 divisors (see below), whose sum is σ = 264266016950880. Its totient is φ = 36761250816000.

The previous prime is 101212100021077. The next prime is 101212100021173. The reversal of 101212100021120 is 21120001212101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 101212100021095 and 101212100021104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2422031 + ... + 14432270.

Almost surely, 2^{101212100021120} is an apocalyptic number.

101212100021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212100021120 is an abundant number, since it is smaller than the sum of its proper divisors (163053916929760).

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

101212100021120 is a wasteful number, since it uses less digits than its factorization.

101212100021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16855184 (or 16855172 counting only the distinct ones).

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

Adding to 101212100021120 its reverse (21120001212101), we get a palindrome (122332101233221).

The spelling of 101212100021120 in words is "one hundred one trillion, two hundred twelve billion, one hundred million, twenty-one thousand, one hundred twenty".