101200121212120 has 64 divisors (see below), whose sum is σ = 266575929076800. Its totient is φ = 33850911621120.

The previous prime is 101200121212117. The next prime is 101200121212181. The reversal of 101200121212120 is 21212121002101.

It is a junction number, because it is equal to n+sod(n) for n = 101200121212094 and 101200121212103.

It is a congruent number.

It is an unprimeable number.

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, 4407659305 + ... + 4407682264.

It is an arithmetic number, because the mean of its divisors is an integer number (4165248891825).

Almost surely, 2^{101200121212120} is an apocalyptic number.

101200121212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200121212120 is an abundant number, since it is smaller than the sum of its proper divisors (165375807864680).

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

101200121212120 is a wasteful number, since it uses less digits than its factorization.

101200121212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8815341628 (or 8815341624 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101200121212120 its reverse (21212121002101), we get a palindrome (122412242214221).

The spelling of 101200121212120 in words is "one hundred one trillion, two hundred billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty".