101040234120 has 192 divisors, whose sum is σ = 375422785920. Its totient is φ = 23086881792.

The previous prime is 101040234091. The next prime is 101040234133. The reversal of 101040234120 is 21432040101.

It is a super-2 number, since 2×101040234120² (a number of 23 digits) contains 22 as substring.

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 = 101040234093 and 101040234102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10218699 + ... + 10228581.

It is an arithmetic number, because the mean of its divisors is an integer number (1955327010).

Almost surely, 2^101040234120 is an apocalyptic number.

101040234120 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 101040234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187711392960).

101040234120 is an abundant number, since it is smaller than the sum of its proper divisors (274382551800).

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

101040234120 is a wasteful number, since it uses less digits than its factorization.

101040234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13964 (or 13957 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101040234120 its reverse (21432040101), we get a palindrome (122472274221).

The spelling of 101040234120 in words is "one hundred one billion, forty million, two hundred thirty-four thousand, one hundred twenty".