101302224122440 has 128 divisors (see below), whose sum is σ = 250356563493120. Its totient is φ = 36584598528000.

The previous prime is 101302224122353. The next prime is 101302224122503. The reversal of 101302224122440 is 44221422203101.

It is a super-2 number, since 2×101302224122440² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101302224122399 and 101302224122408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285315264 + ... + 285670096.

It is an arithmetic number, because the mean of its divisors is an integer number (1955910652290).

Almost surely, 2^{101302224122440} is an apocalyptic number.

101302224122440 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 101302224122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125178281746560).

101302224122440 is an abundant number, since it is smaller than the sum of its proper divisors (149054339370680).

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

101302224122440 is a wasteful number, since it uses less digits than its factorization.

101302224122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359303 (or 359299 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 101302224122440 its reverse (44221422203101), we get a palindrome (145523646325541).

The spelling of 101302224122440 in words is "one hundred one trillion, three hundred two billion, two hundred twenty-four million, one hundred twenty-two thousand, four hundred forty".