101140435352 has 128 divisors (see below), whose sum is σ = 220160160000. Its totient is φ = 43076966400.

The previous prime is 101140435343. The next prime is 101140435369. The reversal of 101140435352 is 253534041101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89583524 + ... + 89584652.

It is an arithmetic number, because the mean of its divisors is an integer number (1720001250).

Almost surely, 2^101140435352 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 101140435352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110080080000).

101140435352 is an abundant number, since it is smaller than the sum of its proper divisors (119019724648).

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

101140435352 is a wasteful number, since it uses less digits than its factorization.

101140435352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 101140435352 its reverse (253534041101), we get a palindrome (354674476453).

The spelling of 101140435352 in words is "one hundred one billion, one hundred forty million, four hundred thirty-five thousand, three hundred fifty-two".