10234121114140 has 288 divisors, whose sum is σ = 27418829340672. Its totient is φ = 3140494156800.

The previous prime is 10234121114131. The next prime is 10234121114153. The reversal of 10234121114140 is 4141112143201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281812624 + ... + 281848936.

It is an arithmetic number, because the mean of its divisors is an integer number (95204268544).

Almost surely, 2^{10234121114140} is an apocalyptic number.

10234121114140 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 10234121114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13709414670336).

10234121114140 is an abundant number, since it is smaller than the sum of its proper divisors (17184708226532).

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

10234121114140 is a wasteful number, since it uses less digits than its factorization.

10234121114140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36609 (or 36596 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 10234121114140 its reverse (4141112143201), we get a palindrome (14375233257341).

The spelling of 10234121114140 in words is "ten trillion, two hundred thirty-four billion, one hundred twenty-one million, one hundred fourteen thousand, one hundred forty".