101123410032 has 120 divisors (see below), whose sum is σ = 290928633840. Its totient is φ = 32765783040.

The previous prime is 101123410019. The next prime is 101123410067. The reversal of 101123410032 is 230014321101.

101123410032 is a `hidden beast` number, since 101 + 123 + 410 + 0 + 32 = 666.

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 = 101123409987 and 101123410014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6006907 + ... + 6023717.

It is an arithmetic number, because the mean of its divisors is an integer number (2424405282).

Almost surely, 2^101123410032 is an apocalyptic number.

101123410032 is a gapful number since it is divisible by the number (12) 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 101123410032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145464316920).

101123410032 is an abundant number, since it is smaller than the sum of its proper divisors (189805223808).

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

101123410032 is a wasteful number, since it uses less digits than its factorization.

101123410032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17991 (or 17982 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101123410032 its reverse (230014321101), we get a palindrome (331137731133).

The spelling of 101123410032 in words is "one hundred one billion, one hundred twenty-three million, four hundred ten thousand, thirty-two".