101100323312100 has 864 divisors, whose sum is σ = 373791075840000. Its totient is φ = 22380283791360.

The previous prime is 101100323312063. The next prime is 101100323312167. The reversal of 101100323312100 is 1213323001101.

101100323312100 is a `hidden beast` number, since 1 + 0 + 1 + 100 + 323 + 31 + 210 + 0 = 666.

It is a super-2 number, since 2×101100323312100² (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 287 ways as a sum of consecutive naturals, for example, 9362002501 + ... + 9362013299.

It is an arithmetic number, because the mean of its divisors is an integer number (432628560000).

Almost surely, 2^{101100323312100} is an apocalyptic number.

101100323312100 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 101100323312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186895537920000).

101100323312100 is an abundant number, since it is smaller than the sum of its proper divisors (272690752527900).

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

101100323312100 is a wasteful number, since it uses less digits than its factorization.

101100323312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11257 (or 11247 counting only the distinct ones).

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

Adding to 101100323312100 its reverse (1213323001101), we get a palindrome (102313646313201).

The spelling of 101100323312100 in words is "one hundred one trillion, one hundred billion, three hundred twenty-three million, three hundred twelve thousand, one hundred".