101011344120 has 384 divisors, whose sum is σ = 344337739200. Its totient is φ = 25657344000.

The previous prime is 101011344029. The next prime is 101011344121. The reversal of 101011344120 is 21443110101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101011344093 and 101011344102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011344121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168071820 + ... + 168072420.

Almost surely, 2^101011344120 is an apocalyptic number.

101011344120 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 101011344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172168869600).

101011344120 is an abundant number, since it is smaller than the sum of its proper divisors (243326395080).

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

101011344120 is a wasteful number, since it uses less digits than its factorization.

101011344120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101011344120 its reverse (21443110101), we get a palindrome (122454454221).

The spelling of 101011344120 in words is "one hundred one billion, eleven million, three hundred forty-four thousand, one hundred twenty".