101421144110440 has 144 divisors (see below), whose sum is σ = 291780370116900. Its totient is φ = 31611785103360.

The previous prime is 101421144110423. The next prime is 101421144110483. The reversal of 101421144110440 is 44011441124101.

It can be written as a sum of positive squares in 2 ways, for example, as 100530261084484 + 890883025956 = 10026478^2 + 943866^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 101421144110399 and 101421144110408.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 213587145 + ... + 214061464.

Almost surely, 2^{101421144110440} is an apocalyptic number.

101421144110440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101421144110440 is an abundant number, since it is smaller than the sum of its proper divisors (190359226006460).

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

101421144110440 is a wasteful number, since it uses less digits than its factorization.

101421144110440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427648656 (or 427648634 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

Adding to 101421144110440 its reverse (44011441124101), we get a palindrome (145432585234541).

The spelling of 101421144110440 in words is "one hundred one trillion, four hundred twenty-one billion, one hundred forty-four million, one hundred ten thousand, four hundred forty".