101133120 has 224 divisors, whose sum is σ = 358298496. Its totient is φ = 23961600.

The previous prime is 101133091. The next prime is 101133127. The reversal of 101133120 is 21331101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101133096 and 101133105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101133127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644082 + ... + 644238.

Almost surely, 2^101133120 is an apocalyptic number.

101133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179149248).

101133120 is an abundant number, since it is smaller than the sum of its proper divisors (257165376).

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

101133120 is a wasteful number, since it uses less digits than its factorization.

101133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101133120 is about 10056.4964077953. The cubic root of 101133120 is about 465.9054619817.

Adding to 101133120 its reverse (21331101), we get a palindrome (122464221).

The spelling of 101133120 in words is "one hundred one million, one hundred thirty-three thousand, one hundred twenty".