101125140352 has 64 divisors (see below), whose sum is σ = 212143680000. Its totient is φ = 47883253248.

The previous prime is 101125140349. The next prime is 101125140367. The reversal of 101125140352 is 253041521101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×101125140352² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8162899 + ... + 8175277.

It is an arithmetic number, because the mean of its divisors is an integer number (3314745000).

Almost surely, 2^101125140352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101125140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106071840000).

101125140352 is an abundant number, since it is smaller than the sum of its proper divisors (111018539648).

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

101125140352 is a wasteful number, since it uses less digits than its factorization.

101125140352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15771 (or 15759 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 101125140352 its reverse (253041521101), we get a palindrome (354166661453).

The spelling of 101125140352 in words is "one hundred one billion, one hundred twenty-five million, one hundred forty thousand, three hundred fifty-two".