102012421232040 has 256 divisors, whose sum is σ = 339977718374400. Its totient is φ = 24279948134400.

The previous prime is 102012421232023. The next prime is 102012421232041. The reversal of 102012421232040 is 40232124210201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102012421232040.

It is not an unprimeable number, because it can be changed into a prime (102012421232041) 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 63 ways as a sum of consecutive naturals, for example, 20121924 + ... + 24676236.

It is an arithmetic number, because the mean of its divisors is an integer number (1328037962400).

Almost surely, 2^{102012421232040} is an apocalyptic number.

102012421232040 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 102012421232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169988859187200).

102012421232040 is an abundant number, since it is smaller than the sum of its proper divisors (237965297142360).

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

102012421232040 is a wasteful number, since it uses less digits than its factorization.

102012421232040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554648 (or 4554644 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102012421232040 its reverse (40232124210201), we get a palindrome (142244545442241).

The spelling of 102012421232040 in words is "one hundred two trillion, twelve billion, four hundred twenty-one million, two hundred thirty-two thousand, forty".