101123123130 has 96 divisors (see below), whose sum is σ = 271548426240. Its totient is φ = 26082155520.

The previous prime is 101123123093. The next prime is 101123123131. The reversal of 101123123130 is 31321321101.

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

It is not an unprimeable number, because it can be changed into a prime (101123123131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5746986 + ... + 5764554.

It is an arithmetic number, because the mean of its divisors is an integer number (2828629440).

Almost surely, 2^101123123130 is an apocalyptic number.

101123123130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101123123130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135774213120).

101123123130 is an abundant number, since it is smaller than the sum of its proper divisors (170425303110).

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

101123123130 is a wasteful number, since it uses less digits than its factorization.

101123123130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19676 (or 19673 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101123123130 its reverse (31321321101), we get a palindrome (132444444231).

The spelling of 101123123130 in words is "one hundred one billion, one hundred twenty-three million, one hundred twenty-three thousand, one hundred thirty".