101333312231100 has 144 divisors (see below), whose sum is σ = 306304069972320. Its totient is φ = 25832094848000.

The previous prime is 101333312230963. The next prime is 101333312231101. The reversal of 101333312231100 is 1132213333101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101333312231101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56782227 + ... + 58539626.

It is an arithmetic number, because the mean of its divisors is an integer number (2127111597030).

Almost surely, 2^{101333312231100} is an apocalyptic number.

101333312231100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101333312231100 is an abundant number, since it is smaller than the sum of its proper divisors (204970757741220).

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

101333312231100 is a wasteful number, since it uses less digits than its factorization.

101333312231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115322000 (or 115321993 counting only the distinct ones).

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

Adding to 101333312231100 its reverse (1132213333101), we get a palindrome (102465525564201).

The spelling of 101333312231100 in words is "one hundred one trillion, three hundred thirty-three billion, three hundred twelve million, two hundred thirty-one thousand, one hundred".