410101012000 has 48 divisors (see below), whose sum is σ = 1007618196312. Its totient is φ = 164040403200.

The previous prime is 410101011923. The next prime is 410101012019. The reversal of 410101012000 is 210101014.

It can be written as a sum of positive squares in 4 ways, for example, as 231364848016 + 178736163984 = 481004^2 + 422772^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 51258627 + ... + 51266626.

Almost surely, 2^410101012000 is an apocalyptic number.

410101012000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

410101012000 is an abundant number, since it is smaller than the sum of its proper divisors (597517184312).

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

410101012000 is a wasteful number, since it uses less digits than its factorization.

410101012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102525278 (or 102525260 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 410101012000 its reverse (210101014), we get a palindrome (410311113014).

The spelling of 410101012000 in words is "four hundred ten billion, one hundred one million, twelve thousand".