10100000001010 has 48 divisors (see below), whose sum is σ = 18367624537416. Its totient is φ = 3998727360000.

The previous prime is 10100000000941. The next prime is 10100000001071. The reversal of 10100000001010 is 1010000000101.

It can be written as a sum of positive squares in 12 ways, for example, as 4455379543729 + 5644620457281 = 2110777^2 + 2375841^2 .

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, 361203430 + ... + 361231390.

Almost surely, 2^{10100000001010} is an apocalyptic number.

10100000001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100000001010 is a deficient number, since it is larger than the sum of its proper divisors (8267624536406).

10100000001010 is a wasteful number, since it uses less digits than its factorization.

10100000001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31711 (or 31610 counting only the distinct ones).

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

Adding to 10100000001010 its reverse (1010000000101), we get a palindrome (11110000001111).

Subtracting from 10100000001010 its reverse (1010000000101), we obtain a palindrome (9090000000909).

It can be divided in two parts, 1010000000 and 1010, that multiplied together give a square (1020100000000 = 1010000²).

The spelling of 10100000001010 in words is "ten trillion, one hundred billion, one thousand, ten".