101030112233100 has 216 divisors, whose sum is σ = 322759826861472. Its totient is φ = 26423894016000.

The previous prime is 101030112233093. The next prime is 101030112233129. The reversal of 101030112233100 is 1332211030101.

101030112233100 is a `hidden beast` number, since 1 + 0 + 10 + 301 + 1 + 22 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×101030112233100² (a number of 29 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 138108300 + ... + 138837900.

It is an arithmetic number, because the mean of its divisors is an integer number (1494258457692).

Almost surely, 2^{101030112233100} is an apocalyptic number.

101030112233100 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 101030112233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161379913430736).

101030112233100 is an abundant number, since it is smaller than the sum of its proper divisors (221729714628372).

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

101030112233100 is a wasteful number, since it uses less digits than its factorization.

101030112233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732577 (or 732567 counting only the distinct ones).

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

Adding to 101030112233100 its reverse (1332211030101), we get a palindrome (102362323263201).

The spelling of 101030112233100 in words is "one hundred one trillion, thirty billion, one hundred twelve million, two hundred thirty-three thousand, one hundred".