101321214412240 has 40 divisors (see below), whose sum is σ = 235572334905600. Its totient is φ = 40528397782656.

The previous prime is 101321214412211. The next prime is 101321214412261. The reversal of 101321214412240 is 42214412123101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×101321214412240² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101321214412199 and 101321214412208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45733797 + ... + 47898043.

It is an arithmetic number, because the mean of its divisors is an integer number (5889308372640).

Almost surely, 2^{101321214412240} is an apocalyptic number.

101321214412240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101321214412240 is an abundant number, since it is smaller than the sum of its proper divisors (134251120493360).

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

101321214412240 is a wasteful number, since it uses less digits than its factorization.

101321214412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749459 (or 2749453 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 101321214412240 its reverse (42214412123101), we get a palindrome (143535626535341).

The spelling of 101321214412240 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred fourteen million, four hundred twelve thousand, two hundred forty".