101122102002010 has 8 divisors (see below), whose sum is σ = 182019783603636. Its totient is φ = 40448840800800.

The previous prime is 101122102001993. The next prime is 101122102002011. The reversal of 101122102002010 is 10200201221101.

It can be written as a sum of positive squares in 2 ways, for example, as 93821908641241 + 7300193360769 = 9686171^2 + 2701887^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not an unprimeable number, because it can be changed into a prime (101122102002011) 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 3 ways as a sum of consecutive naturals, for example, 5056105100091 + ... + 5056105100110.

Almost surely, 2^{101122102002010} is an apocalyptic number.

101122102002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101122102002010 is a deficient number, since it is larger than the sum of its proper divisors (80897681601626).

101122102002010 is a wasteful number, since it uses less digits than its factorization.

101122102002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10112210200208.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101122102002010 its reverse (10200201221101), we get a palindrome (111322303223111).

The spelling of 101122102002010 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred two million, two thousand, ten".