101323301332110 has 256 divisors, whose sum is σ = 290126353692672. Its totient is φ = 22324248576000.

The previous prime is 101323301332103. The next prime is 101323301332133. The reversal of 101323301332110 is 11233103323101.

It is a super-2 number, since 2×101323301332110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72508174 + ... + 73892366.

It is an arithmetic number, because the mean of its divisors is an integer number (1133306069112).

Almost surely, 2^{101323301332110} is an apocalyptic number.

101323301332110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101323301332110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145063176846336).

101323301332110 is an abundant number, since it is smaller than the sum of its proper divisors (188803052360562).

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

101323301332110 is a wasteful number, since it uses less digits than its factorization.

101323301332110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384491.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 101323301332110 its reverse (11233103323101), we get a palindrome (112556404655211).

The spelling of 101323301332110 in words is "one hundred one trillion, three hundred twenty-three billion, three hundred one million, three hundred thirty-two thousand, one hundred ten".