101321440410 has 192 divisors, whose sum is σ = 273879771264. Its totient is φ = 23901696000.

The previous prime is 101321440399. The next prime is 101321440457. The reversal of 101321440410 is 14044123101.

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, 24116310 + ... + 24120510.

It is an arithmetic number, because the mean of its divisors is an integer number (1426457142).

Almost surely, 2^101321440410 is an apocalyptic number.

101321440410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101321440410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136939885632).

101321440410 is an abundant number, since it is smaller than the sum of its proper divisors (172558330854).

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

101321440410 is a wasteful number, since it uses less digits than its factorization.

101321440410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4397 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101321440410 its reverse (14044123101), we get a palindrome (115365563511).

The spelling of 101321440410 in words is "one hundred one billion, three hundred twenty-one million, four hundred forty thousand, four hundred ten".