101110101110010 has 112 divisors (see below), whose sum is σ = 282281840981640. Its totient is φ = 26032945518720.

The previous prime is 101110101110003. The next prime is 101110101110023. The reversal of 101110101110010 is 10011101011101.

It can be written as a sum of positive squares in 4 ways, for example, as 98439396685569 + 2670704424441 = 9921663^2 + 1634229^2 .

It is a super-4 number, since 4×101110101110010⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101110101109974 and 101110101110001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 238921321 + ... + 239344140.

Almost surely, 2^{101110101110010} is an apocalyptic number.

101110101110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101110101110010 is an abundant number, since it is smaller than the sum of its proper divisors (181171739871630).

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

101110101110010 is an equidigital number, since it uses as much as digits as its factorization.

101110101110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478265515 (or 478265500 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101110101110010 its reverse (10011101011101), we get a palindrome (111121202121111).

The spelling of 101110101110010 in words is "one hundred one trillion, one hundred ten billion, one hundred one million, one hundred ten thousand, ten".