101321111333100 has 144 divisors (see below), whose sum is σ = 298518264608256. Its totient is φ = 26527880064000.

The previous prime is 101321111333093. The next prime is 101321111333107. The reversal of 101321111333100 is 1333111123101.

It is an interprime number because it is at equal distance from previous prime (101321111333093) and next prime (101321111333107).

It is a super-2 number, since 2×101321111333100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101321111333107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4735704 + ... + 15002303.

It is an arithmetic number, because the mean of its divisors is an integer number (2073043504224).

Almost surely, 2^{101321111333100} is an apocalyptic number.

101321111333100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101321111333100 is an abundant number, since it is smaller than the sum of its proper divisors (197197153275156).

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

101321111333100 is a wasteful number, since it uses less digits than its factorization.

101321111333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19738336 (or 19738329 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 101321111333100 its reverse (1333111123101), we get a palindrome (102654222456201).

The spelling of 101321111333100 in words is "one hundred one trillion, three hundred twenty-one billion, one hundred eleven million, three hundred thirty-three thousand, one hundred".