101133100 has 18 divisors (see below), whose sum is σ = 219459044. Its totient is φ = 40453200.

The previous prime is 101133091. The next prime is 101133127. The reversal of 101133100 is 1331101.

It is a super-3 number, since 3×101133100³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 505566 + ... + 505765.

Almost surely, 2^101133100 is an apocalyptic number.

101133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101133100 is an abundant number, since it is smaller than the sum of its proper divisors (118325944).

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

101133100 is a wasteful number, since it uses less digits than its factorization.

101133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011345 (or 1011338 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 101133100 is about 10056.4954134132. The cubic root of 101133100 is about 465.9054312694.

Adding to 101133100 its reverse (1331101), we get a palindrome (102464201).

The spelling of 101133100 in words is "one hundred one million, one hundred thirty-three thousand, one hundred".