10010101112010 has 80 divisors (see below), whose sum is σ = 27572538764232. Its totient is φ = 2604253939200.

The previous prime is 10010101111979. The next prime is 10010101112021. The reversal of 10010101112010 is 1021110101001.

It can be written as a sum of positive squares in 4 ways, for example, as 2019704272569 + 7990396839441 = 1421163^2 + 2826729^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10010101111983 and 10010101112001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 150675931 + ... + 150742350.

Almost surely, 2^{10010101112010} is an apocalyptic number.

10010101112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010101112010 is an abundant number, since it is smaller than the sum of its proper divisors (17562437652222).

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

10010101112010 is a wasteful number, since it uses less digits than its factorization.

10010101112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301418341 (or 301418332 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10010101112010 its reverse (1021110101001), we get a palindrome (11031211213011).

The spelling of 10010101112010 in words is "ten trillion, ten billion, one hundred one million, one hundred twelve thousand, ten".