241025142242100 has 144 divisors (see below), whose sum is σ = 700803518579136. Its totient is φ = 63957166464000.

The previous prime is 241025142242063. The next prime is 241025142242219. The reversal of 241025142242100 is 1242241520142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61333435 + ... + 65144765.

It is an arithmetic number, because the mean of its divisors is an integer number (4866691101244).

Almost surely, 2^{241025142242100} is an apocalyptic number.

241025142242100 is a gapful number since it is divisible by the number (20) 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 241025142242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350401759289568).

241025142242100 is an abundant number, since it is smaller than the sum of its proper divisors (459778376337036).

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

241025142242100 is a wasteful number, since it uses less digits than its factorization.

241025142242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3812386 (or 3812379 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 241025142242100 its reverse (1242241520142), we get a palindrome (242267383762242).

The spelling of 241025142242100 in words is "two hundred forty-one trillion, twenty-five billion, one hundred forty-two million, two hundred forty-two thousand, one hundred".