10201102441040 has 80 divisors (see below), whose sum is σ = 27166974023808. Its totient is φ = 3489625671168.

The previous prime is 10201102440979. The next prime is 10201102441073. The reversal of 10201102441040 is 4014420110201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20312027 + ... + 20808186.

Almost surely, 2^{10201102441040} is an apocalyptic number.

10201102441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201102441040 is an abundant number, since it is smaller than the sum of its proper divisors (16965871582768).

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

10201102441040 is a wasteful number, since it uses less digits than its factorization.

10201102441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41120676 (or 41120670 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10201102441040 its reverse (4014420110201), we get a palindrome (14215522551241).

The spelling of 10201102441040 in words is "ten trillion, two hundred one billion, one hundred two million, four hundred forty-one thousand, forty".