101103233121000 has 768 divisors, whose sum is σ = 375416013772800. Its totient is φ = 24338133504000.

The previous prime is 101103233120983. The next prime is 101103233121043. The reversal of 101103233121000 is 121332301101.

101103233121000 is a `hidden beast` number, since 10 + 1 + 10 + 323 + 312 + 10 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9029487402 + ... + 9029498598.

It is an arithmetic number, because the mean of its divisors is an integer number (488822934600).

Almost surely, 2^{101103233121000} is an apocalyptic number.

101103233121000 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 101103233121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187708006886400).

101103233121000 is an abundant number, since it is smaller than the sum of its proper divisors (274312780651800).

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

101103233121000 is a wasteful number, since it uses less digits than its factorization.

101103233121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11867 (or 11850 counting only the distinct ones).

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

Adding to 101103233121000 its reverse (121332301101), we get a palindrome (101224565422101).

The spelling of 101103233121000 in words is "one hundred one trillion, one hundred three billion, two hundred thirty-three million, one hundred twenty-one thousand".