101211242442440 has 256 divisors, whose sum is σ = 257743456185600. Its totient is φ = 35523661824000.

The previous prime is 101211242442287. The next prime is 101211242442463. The reversal of 101211242442440 is 44244242112101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101211242442397 and 101211242442406.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141784415 + ... + 142496465.

It is an arithmetic number, because the mean of its divisors is an integer number (1006810375725).

Almost surely, 2^{101211242442440} is an apocalyptic number.

101211242442440 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 101211242442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128871728092800).

101211242442440 is an abundant number, since it is smaller than the sum of its proper divisors (156532213743160).

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

101211242442440 is a wasteful number, since it uses less digits than its factorization.

101211242442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712288 (or 712284 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 101211242442440 its reverse (44244242112101), we get a palindrome (145455484554541).

The spelling of 101211242442440 in words is "one hundred one trillion, two hundred eleven billion, two hundred forty-two million, four hundred forty-two thousand, four hundred forty".