2231141342100 has 144 divisors (see below), whose sum is σ = 7043305824576. Its totient is φ = 540804992000.

The previous prime is 2231141342077. The next prime is 2231141342123. The reversal of 2231141342100 is 12431411322.

It is an interprime number because it is at equal distance from previous prime (2231141342077) and next prime (2231141342123).

It is a super-3 number, since 3×2231141342100³ (a number of 38 digits) contains 333 as substring.

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, 24840472 + ... + 24930128.

It is an arithmetic number, because the mean of its divisors is an integer number (48911846004).

Almost surely, 2^{2231141342100} is an apocalyptic number.

2231141342100 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 2231141342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521652912288).

2231141342100 is an abundant number, since it is smaller than the sum of its proper divisors (4812164482476).

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

2231141342100 is a wasteful number, since it uses less digits than its factorization.

2231141342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97226 (or 97219 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2231141342100 its reverse (12431411322), we get a palindrome (2243572753422).

The spelling of 2231141342100 in words is "two trillion, two hundred thirty-one billion, one hundred forty-one million, three hundred forty-two thousand, one hundred".