101334001200100 has 36 divisors (see below), whose sum is σ = 220448673830644. Its totient is φ = 40431500714880.

The previous prime is 101334001200097. The next prime is 101334001200109. The reversal of 101334001200100 is 1002100433101.

It can be written as a sum of positive squares in 6 ways, for example, as 2587806299556 + 98746194900544 = 1608666^2 + 9937112^2 .

It is not an unprimeable number, because it can be changed into a prime (101334001200109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1276207167 + ... + 1276286566.

Almost surely, 2^{101334001200100} is an apocalyptic number.

101334001200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101334001200100 is an abundant number, since it is smaller than the sum of its proper divisors (119114672630544).

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

101334001200100 is a wasteful number, since it uses less digits than its factorization.

101334001200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552494144 (or 2552494137 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101334001200100 its reverse (1002100433101), we get a palindrome (102336101633201).

The spelling of 101334001200100 in words is "one hundred one trillion, three hundred thirty-four billion, one million, two hundred thousand, one hundred".