101033134100 has 18 divisors (see below), whose sum is σ = 219241901214. Its totient is φ = 40413253600.

The previous prime is 101033134039. The next prime is 101033134117. The reversal of 101033134100 is 1431330101.

It can be written as a sum of positive squares in 3 ways, for example, as 10511580676 + 90521553424 = 102526^2 + 300868^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505165571 + ... + 505165770.

It is an arithmetic number, because the mean of its divisors is an integer number (12180105623).

Almost surely, 2^101033134100 is an apocalyptic number.

101033134100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101033134100 is an abundant number, since it is smaller than the sum of its proper divisors (118208767114).

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

101033134100 is a wasteful number, since it uses less digits than its factorization.

101033134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010331355 (or 1010331348 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101033134100 its reverse (1431330101), we get a palindrome (102464464201).

The spelling of 101033134100 in words is "one hundred one billion, thirty-three million, one hundred thirty-four thousand, one hundred".