1002252441100 has 72 divisors (see below), whose sum is σ = 2180205520416. Its totient is φ = 399921600000.

The previous prime is 1002252441097. The next prime is 1002252441103. The reversal of 1002252441100 is 11442522001.

1002252441100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1002252441097) and next prime (1002252441103).

It is not an unprimeable number, because it can be changed into a prime (1002252441103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132903330 + ... + 132910870.

It is an arithmetic number, because the mean of its divisors is an integer number (30280632228).

Almost surely, 2^{1002252441100} is an apocalyptic number.

1002252441100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002252441100 is an abundant number, since it is smaller than the sum of its proper divisors (1177953079316).

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

1002252441100 is a wasteful number, since it uses less digits than its factorization.

1002252441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10627 (or 10620 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 1002252441100 its reverse (11442522001), we get a palindrome (1013694963101).

The spelling of 1002252441100 in words is "one trillion, two billion, two hundred fifty-two million, four hundred forty-one thousand, one hundred".