102252440000 has 140 divisors (see below), whose sum is σ = 253957601304. Its totient is φ = 40835712000.

The previous prime is 102252439951. The next prime is 102252440009. The reversal of 102252440000 is 44252201.

It is a happy number.

It is a super-2 number, since 2×102252440000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102252440009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30918347 + ... + 30921653.

Almost surely, 2^102252440000 is an apocalyptic number.

102252440000 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 102252440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126978800652).

102252440000 is an abundant number, since it is smaller than the sum of its proper divisors (151705161304).

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

102252440000 is an frugal number, since it uses more digits than its factorization.

102252440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 102252440000 its reverse (44252201), we get a palindrome (102296692201).

The spelling of 102252440000 in words is "one hundred two billion, two hundred fifty-two million, four hundred forty thousand".