10464122612100 has 144 divisors (see below), whose sum is σ = 32188638045312. Its totient is φ = 2618748887040.

The previous prime is 10464122612017. The next prime is 10464122612143. The reversal of 10464122612100 is 121622146401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13941277 + ... + 14672676.

It is an arithmetic number, because the mean of its divisors is an integer number (223532208648).

Almost surely, 2^{10464122612100} is an apocalyptic number.

10464122612100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10464122612100 is an abundant number, since it is smaller than the sum of its proper divisors (21724515433212).

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

10464122612100 is a wasteful number, since it uses less digits than its factorization.

10464122612100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28614046 (or 28614039 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 10464122612100 its reverse (121622146401), we get a palindrome (10585744758501).

The spelling of 10464122612100 in words is "ten trillion, four hundred sixty-four billion, one hundred twenty-two million, six hundred twelve thousand, one hundred".