1012414433100 has 576 divisors, whose sum is σ = 3548871524352. Its totient is φ = 217945728000.

The previous prime is 1012414433047. The next prime is 1012414433137. The reversal of 1012414433100 is 13344142101.

It is a super-2 number, since 2×1012414433100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1111321645 + ... + 1111322555.

Almost surely, 2^{1012414433100} is an apocalyptic number.

1012414433100 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 1012414433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774435762176).

1012414433100 is an abundant number, since it is smaller than the sum of its proper divisors (2536457091252).

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

1012414433100 is a wasteful number, since it uses less digits than its factorization.

1012414433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1012414433100 its reverse (13344142101), we get a palindrome (1025758575201).

The spelling of 1012414433100 in words is "one trillion, twelve billion, four hundred fourteen million, four hundred thirty-three thousand, one hundred".