101100214413440 has 256 divisors, whose sum is σ = 268944095232000. Its totient is φ = 36031365427200.

The previous prime is 101100214413439. The next prime is 101100214413449. The reversal of 101100214413440 is 44314412001101.

It is a happy number.

It is a super-2 number, since 2×101100214413440² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101100214413449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137116481 + ... + 137851839.

It is an arithmetic number, because the mean of its divisors is an integer number (1050562872000).

Almost surely, 2^{101100214413440} is an apocalyptic number.

101100214413440 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 101100214413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134472047616000).

101100214413440 is an abundant number, since it is smaller than the sum of its proper divisors (167843880818560).

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

101100214413440 is a wasteful number, since it uses less digits than its factorization.

101100214413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735779 (or 735767 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 101100214413440 its reverse (44314412001101), we get a palindrome (145414626414541).

The spelling of 101100214413440 in words is "one hundred one trillion, one hundred billion, two hundred fourteen million, four hundred thirteen thousand, four hundred forty".