101001123120 has 160 divisors (see below), whose sum is σ = 319763194560. Its totient is φ = 26366771200.

The previous prime is 101001123101. The next prime is 101001123127. The reversal of 101001123120 is 21321100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101001123096 and 101001123105.

It is not an unprimeable number, because it can be changed into a prime (101001123127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2133952 + ... + 2180768.

It is an arithmetic number, because the mean of its divisors is an integer number (1998519966).

Almost surely, 2^101001123120 is an apocalyptic number.

101001123120 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 101001123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159881597280).

101001123120 is an abundant number, since it is smaller than the sum of its proper divisors (218762071440).

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

101001123120 is a wasteful number, since it uses less digits than its factorization.

101001123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47023 (or 47017 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101001123120 its reverse (21321100101), we get a palindrome (122322223221).

The spelling of 101001123120 in words is "one hundred one billion, one million, one hundred twenty-three thousand, one hundred twenty".