10102134224100 has 72 divisors (see below), whose sum is σ = 29381872439808. Its totient is φ = 2679798243200.

The previous prime is 10102134224089. The next prime is 10102134224123. The reversal of 10102134224100 is 142243120101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88093959 + ... + 88208558.

It is an arithmetic number, because the mean of its divisors is an integer number (408081561664).

Almost surely, 2^{10102134224100} is an apocalyptic number.

10102134224100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102134224100 is an abundant number, since it is smaller than the sum of its proper divisors (19279738215708).

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

10102134224100 is a wasteful number, since it uses less digits than its factorization.

10102134224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176302725 (or 176302718 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10102134224100 its reverse (142243120101), we get a palindrome (10244377344201).

The spelling of 10102134224100 in words is "ten trillion, one hundred two billion, one hundred thirty-four million, two hundred twenty-four thousand, one hundred".