10120210101010 has 64 divisors (see below), whose sum is σ = 19493256649824. Its totient is φ = 3769458688000.

The previous prime is 10120210101007. The next prime is 10120210101019. The reversal of 10120210101010 is 1010101202101.

It can be written as a sum of positive squares in 16 ways, for example, as 3676679696089 + 6443530404921 = 1917467^2 + 2538411^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10120210101019) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23151834 + ... + 23584906.

Almost surely, 2^{10120210101010} is an apocalyptic number.

10120210101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120210101010 is a deficient number, since it is larger than the sum of its proper divisors (9373046548814).

10120210101010 is a wasteful number, since it uses less digits than its factorization.

10120210101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434559.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10120210101010 its reverse (1010101202101), we get a palindrome (11130311303111).

It can be divided in two parts, 1012021010 and 1010, that multiplied together give a square (1022141220100 = 1011010²).

The spelling of 10120210101010 in words is "ten trillion, one hundred twenty billion, two hundred ten million, one hundred one thousand, ten".