102311001240 has 256 divisors, whose sum is σ = 363419136000. Its totient is φ = 22545223680.

The previous prime is 102311001229. The next prime is 102311001263. The reversal of 102311001240 is 42100113201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18535201 + ... + 18540719.

It is an arithmetic number, because the mean of its divisors is an integer number (1419606000).

Almost surely, 2^102311001240 is an apocalyptic number.

102311001240 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 102311001240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181709568000).

102311001240 is an abundant number, since it is smaller than the sum of its proper divisors (261108134760).

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

102311001240 is a wasteful number, since it uses less digits than its factorization.

102311001240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102311001240 its reverse (42100113201), we get a palindrome (144411114441).

The spelling of 102311001240 in words is "one hundred two billion, three hundred eleven million, one thousand, two hundred forty".