101138310 has 192 divisors, whose sum is σ = 331164288. Its totient is φ = 20846592.

The previous prime is 101138299. The next prime is 101138333. The reversal of 101138310 is 13831101.

It is a happy number.

It is a super-2 number, since 2×101138310² = 20457915499312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 433954 + ... + 434186.

It is an arithmetic number, because the mean of its divisors is an integer number (1724814).

Almost surely, 2^101138310 is an apocalyptic number.

101138310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101138310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165582144).

101138310 is an abundant number, since it is smaller than the sum of its proper divisors (230025978).

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

101138310 is a wasteful number, since it uses less digits than its factorization.

101138310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 101138310 is about 10056.7544466393. The cubic root of 101138310 is about 465.9134317018.

Adding to 101138310 its reverse (13831101), we get a palindrome (114969411).

The spelling of 101138310 in words is "one hundred one million, one hundred thirty-eight thousand, three hundred ten".