101033113100 has 36 divisors (see below), whose sum is σ = 232138439064. Its totient is φ = 38035994880.

The previous prime is 101033113099. The next prime is 101033113121. The reversal of 101033113100 is 1311330101.

It is a happy number.

It is a super-2 number, since 2×101033113100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29713922 + ... + 29717321.

It is an arithmetic number, because the mean of its divisors is an integer number (6448289974).

Almost surely, 2^101033113100 is an apocalyptic number.

101033113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101033113100 is an abundant number, since it is smaller than the sum of its proper divisors (131105325964).

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

101033113100 is a wasteful number, since it uses less digits than its factorization.

101033113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59431274 (or 59431267 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 101033113100 its reverse (1311330101), we get a palindrome (102344443201).

The spelling of 101033113100 in words is "one hundred one billion, thirty-three million, one hundred thirteen thousand, one hundred".