101138120 has 32 divisors (see below), whose sum is σ = 234904320. Its totient is φ = 39149760.

The previous prime is 101138119. The next prime is 101138123. The reversal of 101138120 is 21831101.

101138120 = 1428² + 1429² + ... + 1475².

It is not an unprimeable number, because it can be changed into a prime (101138123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39542 + ... + 42021.

It is an arithmetic number, because the mean of its divisors is an integer number (7340760).

Almost surely, 2^101138120 is an apocalyptic number.

101138120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101138120 is an abundant number, since it is smaller than the sum of its proper divisors (133766200).

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

101138120 is a wasteful number, since it uses less digits than its factorization.

101138120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81605 (or 81601 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 101138120 is about 10056.7450002473. The cubic root of 101138120 is about 465.9131399443.

Adding to 101138120 its reverse (21831101), we get a palindrome (122969221).

The spelling of 101138120 in words is "one hundred one million, one hundred thirty-eight thousand, one hundred twenty".