101101010120 has 64 divisors (see below), whose sum is σ = 248478891840. Its totient is φ = 36716320000.

The previous prime is 101101010111. The next prime is 101101010147. The reversal of 101101010120 is 21010101101.

It is a happy number.

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 = 101101010098 and 101101010107.

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, 191495 + ... + 488745.

It is an arithmetic number, because the mean of its divisors is an integer number (3882482685).

Almost surely, 2^101101010120 is an apocalyptic number.

101101010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124239445920).

101101010120 is an abundant number, since it is smaller than the sum of its proper divisors (147377881720).

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

101101010120 is a wasteful number, since it uses less digits than its factorization.

101101010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298046 (or 298042 counting only the distinct ones).

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

Adding to 101101010120 its reverse (21010101101), we get a palindrome (122111111221).

The spelling of 101101010120 in words is "one hundred one billion, one hundred one million, ten thousand, one hundred twenty".