102444100000 has 144 divisors (see below), whose sum is σ = 275012835552. Its totient is φ = 37252000000.

The previous prime is 102444099977. The next prime is 102444100019. The reversal of 102444100000 is 1444201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1053435 + ... + 1146565.

It is an arithmetic number, because the mean of its divisors is an integer number (1909811358).

Almost surely, 2^102444100000 is an apocalyptic number.

102444100000 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 102444100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137506417776).

102444100000 is an abundant number, since it is smaller than the sum of its proper divisors (172568735552).

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

102444100000 is an frugal number, since it uses more digits than its factorization.

102444100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93177 (or 93149 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102444100000 its reverse (1444201), we get a palindrome (102445544201).

The spelling of 102444100000 in words is "one hundred two billion, four hundred forty-four million, one hundred thousand".