100122002002248 has 128 divisors (see below), whose sum is σ = 268162394947200. Its totient is φ = 31039848677376.

The previous prime is 100122002002171. The next prime is 100122002002249. The reversal of 100122002002248 is 842200200221001.

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

It is not an unprimeable number, because it can be changed into a prime (100122002002249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61765440 + ... + 63365712.

It is an arithmetic number, because the mean of its divisors is an integer number (2095018710525).

Almost surely, 2^{100122002002248} 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 100122002002248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134081197473600).

100122002002248 is an abundant number, since it is smaller than the sum of its proper divisors (168040392944952).

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

100122002002248 is a wasteful number, since it uses less digits than its factorization.

100122002002248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602111 (or 1602107 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 100122002002248 its reverse (842200200221001), we get a palindrome (942322202223249).

The spelling of 100122002002248 in words is "one hundred trillion, one hundred twenty-two billion, two million, two thousand, two hundred forty-eight".