101001001001120 has 48 divisors (see below), whose sum is σ = 260307125311968. Its totient is φ = 36727636727040.

The previous prime is 101001001001083. The next prime is 101001001001129. The reversal of 101001001001120 is 21100100100101.

It is a happy number.

101001001001120 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 (8).

It is a junction number, because it is equal to n+sod(n) for n = 101001001001098 and 101001001001107.

It is not an unprimeable number, because it can be changed into a prime (101001001001129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28693464434 + ... + 28693467953.

It is an arithmetic number, because the mean of its divisors is an integer number (5423065110666).

Almost surely, 2^{101001001001120} is an apocalyptic number.

101001001001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001001001120 is an abundant number, since it is smaller than the sum of its proper divisors (159306124310848).

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

101001001001120 is a wasteful number, since it uses less digits than its factorization.

101001001001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57386932413 (or 57386932405 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101001001001120 its reverse (21100100100101), we get a palindrome (122101101101221).

The spelling of 101001001001120 in words is "one hundred one trillion, one billion, one million, one thousand, one hundred twenty".