10102122101100 has 144 divisors (see below), whose sum is σ = 31112864899200. Its totient is φ = 2523439480320.

The previous prime is 10102122101083. The next prime is 10102122101107. The reversal of 10102122101100 is 110122120101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10102122101107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9449454 + ... + 10464053.

It is an arithmetic number, because the mean of its divisors is an integer number (216061561800).

Almost surely, 2^{10102122101100} is an apocalyptic number.

10102122101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102122101100 is an abundant number, since it is smaller than the sum of its proper divisors (21010742798100).

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

10102122101100 is a wasteful number, since it uses less digits than its factorization.

10102122101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19913632 (or 19913625 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10102122101100 its reverse (110122120101), we get a palindrome (10212244221201).

The spelling of 10102122101100 in words is "ten trillion, one hundred two billion, one hundred twenty-two million, one hundred one thousand, one hundred".