102400041012000 has 384 divisors, whose sum is σ = 344870711797248. Its totient is φ = 26542315008000.

The previous prime is 102400041011951. The next prime is 102400041012053. The reversal of 102400041012000 is 210140004201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449658165 + ... + 449885835.

It is an arithmetic number, because the mean of its divisors is an integer number (898100811972).

Almost surely, 2^{102400041012000} is an apocalyptic number.

102400041012000 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 102400041012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172435355898624).

102400041012000 is an abundant number, since it is smaller than the sum of its proper divisors (242470670785248).

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

102400041012000 is a wasteful number, since it uses less digits than its factorization.

102400041012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228749 (or 228731 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102400041012000 its reverse (210140004201), we get a palindrome (102610181016201).

The spelling of 102400041012000 in words is "one hundred two trillion, four hundred billion, forty-one million, twelve thousand".