101444325211040 has 192 divisors, whose sum is σ = 278983589713920. Its totient is φ = 34137204433920.

The previous prime is 101444325211037. The next prime is 101444325211067. The reversal of 101444325211040 is 40112523444101.

It is a super-2 number, since 2×101444325211040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 101444325210988 and 101444325211006.

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, 40480019 + ... + 42912941.

It is an arithmetic number, because the mean of its divisors is an integer number (1453039529760).

Almost surely, 2^{101444325211040} is an apocalyptic number.

101444325211040 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 101444325211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139491794856960).

101444325211040 is an abundant number, since it is smaller than the sum of its proper divisors (177539264502880).

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

101444325211040 is a wasteful number, since it uses less digits than its factorization.

101444325211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433635 (or 2433627 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 101444325211040 its reverse (40112523444101), we get a palindrome (141556848655141).

The spelling of 101444325211040 in words is "one hundred one trillion, four hundred forty-four billion, three hundred twenty-five million, two hundred eleven thousand, forty".