101101100010010 has 16 divisors (see below), whose sum is σ = 181984581131976. Its totient is φ = 40439861978688.

The previous prime is 101101100010007. The next prime is 101101100010011. The reversal of 101101100010010 is 10010001101101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 92045929719249 + 9055170290761 = 9594057^2 + 3009181^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101101100009975 and 101101100010002.

It is not an unprimeable number, because it can be changed into a prime (101101100010011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71518197 + ... + 72918136.

Almost surely, 2^{101101100010010} is an apocalyptic number.

101101100010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101100010010 is a deficient number, since it is larger than the sum of its proper divisors (80883481121966).

101101100010010 is a wasteful number, since it uses less digits than its factorization.

101101100010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144506337.

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

Adding to 101101100010010 its reverse (10010001101101), we get a palindrome (111111101111111).

The spelling of 101101100010010 in words is "one hundred one trillion, one hundred one billion, one hundred million, ten thousand, ten".