10010101000000 has 98 divisors (see below), whose sum is σ = 24829427374574. Its totient is φ = 4004040000000.

The previous prime is 10010100999971. The next prime is 10010101000021. The reversal of 10010101000000 is 10101001.

It can be written as a sum of positive squares in 7 ways, for example, as 9538362803776 + 471738196224 = 3088424^2 + 686832^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 4005051 + ... + 6005050.

Almost surely, 2^{10010101000000} is an apocalyptic number.

10010101000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010101000000 is an abundant number, since it is smaller than the sum of its proper divisors (14819326374574).

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

10010101000000 is an frugal number, since it uses more digits than its factorization.

10010101000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010143 (or 10010108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10010101000000 its reverse (10101001), we get a palindrome (10010111101001).

The spelling of 10010101000000 in words is "ten trillion, ten billion, one hundred one million", and thus it is an aban number.