101010100110010 has 48 divisors (see below), whose sum is σ = 227772225756936. Its totient is φ = 31968031681152.

The previous prime is 101010100109957. The next prime is 101010100110047. The reversal of 101010100110010 is 10011001010101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 54087449409889 + 46922650700121 = 7354417^2 + 6850011^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 101010100109975 and 101010100110002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7928572917 + ... + 7928585656.

Almost surely, 2^{101010100110010} is an apocalyptic number.

101010100110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101010100110010 is an abundant number, since it is smaller than the sum of its proper divisors (126762125646926).

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

101010100110010 is a wasteful number, since it uses less digits than its factorization.

101010100110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15857158607 (or 15857158600 counting only the distinct ones).

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

Adding to 101010100110010 its reverse (10011001010101), we get a palindrome (111021101120111).

Subtracting from 101010100110010 its reverse (10011001010101), we obtain a palindrome (90999099099909).

The spelling of 101010100110010 in words is "one hundred one trillion, ten billion, one hundred million, one hundred ten thousand, ten".