101322111132300 has 144 divisors (see below), whose sum is σ = 297304601065472. Its totient is φ = 26637437606400.

The previous prime is 101322111132289. The next prime is 101322111132311. The reversal of 101322111132300 is 3231111223101.

It is an interprime number because it is at equal distance from previous prime (101322111132289) and next prime (101322111132311).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49073805 + ... + 51096795.

Almost surely, 2^{101322111132300} is an apocalyptic number.

101322111132300 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 101322111132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148652300532736).

101322111132300 is an abundant number, since it is smaller than the sum of its proper divisors (195982489933172).

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

101322111132300 is a wasteful number, since it uses less digits than its factorization.

101322111132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025368 (or 2025361 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101322111132300 its reverse (3231111223101), we get a palindrome (104553222355401).

The spelling of 101322111132300 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred eleven million, one hundred thirty-two thousand, three hundred".