101023012000240 has 80 divisors (see below), whose sum is σ = 256238372837376. Its totient is φ = 36734597177600.

The previous prime is 101023012000201. The next prime is 101023012000241. The reversal of 101023012000240 is 42000210320101.

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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101023012000241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29707329 + ... + 32932831.

Almost surely, 2^{101023012000240} is an apocalyptic number.

101023012000240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101023012000240 is an abundant number, since it is smaller than the sum of its proper divisors (155215360837136).

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

101023012000240 is a wasteful number, since it uses less digits than its factorization.

101023012000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261118 (or 3261112 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101023012000240 its reverse (42000210320101), we get a palindrome (143023222320341).

The spelling of 101023012000240 in words is "one hundred one trillion, twenty-three billion, twelve million, two hundred forty", and thus it is an aban number.