102872220000 has 480 divisors, whose sum is σ = 372966612480. Its totient is φ = 24610560000.

The previous prime is 102872219959. The next prime is 102872220013. The reversal of 102872220000 is 22278201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52139014 + ... + 52140986.

It is an arithmetic number, because the mean of its divisors is an integer number (777013776).

Almost surely, 2^102872220000 is an apocalyptic number.

102872220000 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 102872220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186483306240).

102872220000 is an abundant number, since it is smaller than the sum of its proper divisors (270094392480).

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

102872220000 is a wasteful number, since it uses less digits than its factorization.

102872220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

Adding to 102872220000 its reverse (22278201), we get a palindrome (102894498201).

The spelling of 102872220000 in words is "one hundred two billion, eight hundred seventy-two million, two hundred twenty thousand".