101101100100010 has 8 divisors (see below), whose sum is σ = 181981980180036. Its totient is φ = 40440440040000.

The previous prime is 101101100099971. The next prime is 101101100100041. The reversal of 101101100100010 is 10001001101101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 101097655701289 + 3444398721 = 10054733^2 + 58689^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 101101100099966 and 101101100100002.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5055055004991 + ... + 5055055005010.

Almost surely, 2^{101101100100010} is an apocalyptic number.

101101100100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101100100010 is a deficient number, since it is larger than the sum of its proper divisors (80880880080026).

101101100100010 is a wasteful number, since it uses less digits than its factorization.

101101100100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110110010008.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101101100100010 its reverse (10001001101101), we get a palindrome (111102101201111).

The spelling of 101101100100010 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred thousand, ten".