101000002101120 has 256 divisors, whose sum is σ = 359068464691200. Its totient is φ = 26830924572672.

The previous prime is 101000002101091. The next prime is 101000002101137. The reversal of 101000002101120 is 21101200000101.

It is a happy number.

101000002101120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6567352 + ... + 15656631.

It is an arithmetic number, because the mean of its divisors is an integer number (1402611190200).

Almost surely, 2^{101000002101120} is an apocalyptic number.

101000002101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000002101120 is an abundant number, since it is smaller than the sum of its proper divisors (258068462590080).

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

101000002101120 is a wasteful number, since it uses less digits than its factorization.

101000002101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22224274 (or 22224256 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101000002101120 its reverse (21101200000101), we get a palindrome (122101202101221).

The spelling of 101000002101120 in words is "one hundred one trillion, two million, one hundred one thousand, one hundred twenty".