101320100112330 has 192 divisors, whose sum is σ = 287742612463488. Its totient is φ = 24531521863680.

The previous prime is 101320100112251. The next prime is 101320100112331. The reversal of 101320100112330 is 33211001023101.

101320100112330 is a `hidden beast` number, since 1 + 0 + 1 + 320 + 1 + 0 + 0 + 1 + 12 + 330 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101320100112331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8893183114 + ... + 8893194506.

It is an arithmetic number, because the mean of its divisors is an integer number (1498659439914).

Almost surely, 2^{101320100112330} is an apocalyptic number.

101320100112330 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 101320100112330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143871306231744).

101320100112330 is an abundant number, since it is smaller than the sum of its proper divisors (186422512351158).

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

101320100112330 is a wasteful number, since it uses less digits than its factorization.

101320100112330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21941 (or 21938 counting only the distinct ones).

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

Adding to 101320100112330 its reverse (33211001023101), we get a palindrome (134531101135431).

The spelling of 101320100112330 in words is "one hundred one trillion, three hundred twenty billion, one hundred million, one hundred twelve thousand, three hundred thirty".