101123210130 has 128 divisors (see below), whose sum is σ = 255365332992. Its totient is φ = 25579031808.

The previous prime is 101123210101. The next prime is 101123210131. The reversal of 101123210130 is 31012321101.

It is a happy number.

It is a super-2 number, since 2×101123210130² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101123210131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45082789 + ... + 45085031.

It is an arithmetic number, because the mean of its divisors is an integer number (1995041664).

Almost surely, 2^101123210130 is an apocalyptic number.

101123210130 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 101123210130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127682666496).

101123210130 is an abundant number, since it is smaller than the sum of its proper divisors (154242122862).

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

101123210130 is a wasteful number, since it uses less digits than its factorization.

101123210130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101123210130 its reverse (31012321101), we get a palindrome (132135531231).

The spelling of 101123210130 in words is "one hundred one billion, one hundred twenty-three million, two hundred ten thousand, one hundred thirty".