101000101110010 has 16 divisors (see below), whose sum is σ = 181809295605000. Its totient is φ = 40398015198016.

The previous prime is 101000101109987. The next prime is 101000101110049. The reversal of 101000101110010 is 10011101000101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26167757086249 + 74832344023761 = 5115443^2 + 8650569^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101000101109975 and 101000101110002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252946285 + ... + 253345264.

Almost surely, 2^{101000101110010} is an apocalyptic number.

101000101110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000101110010 is a deficient number, since it is larger than the sum of its proper divisors (80809194494990).

101000101110010 is a wasteful number, since it uses less digits than its factorization.

101000101110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506311505.

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

Adding to 101000101110010 its reverse (10011101000101), we get a palindrome (111011202110111).

The spelling of 101000101110010 in words is "one hundred one trillion, one hundred one million, one hundred ten thousand, ten".