100412213041140 has 1152 divisors, whose sum is σ = 391380744416256. Its totient is φ = 18708738048000.

The previous prime is 100412213041121. The next prime is 100412213041141. The reversal of 100412213041140 is 41140312214001.

It is a happy number.

It is a super-2 number, since 2×100412213041140² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100412213041140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100412213041141) 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 383 ways as a sum of consecutive naturals, for example, 3536498784 + ... + 3536527176.

It is an arithmetic number, because the mean of its divisors is an integer number (339740229528).

Almost surely, 2^{100412213041140} is an apocalyptic number.

100412213041140 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 100412213041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195690372208128).

100412213041140 is an abundant number, since it is smaller than the sum of its proper divisors (290968531375116).

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

100412213041140 is a wasteful number, since it uses less digits than its factorization.

100412213041140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28601 (or 28588 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 100412213041140 its reverse (41140312214001), we get a palindrome (141552525255141).

The spelling of 100412213041140 in words is "one hundred trillion, four hundred twelve billion, two hundred thirteen million, forty-one thousand, one hundred forty".