100020101010010 has 32 divisors (see below), whose sum is σ = 194223272744592. Its totient is φ = 36944161612800.

The previous prime is 100020101010001. The next prime is 100020101010059. The reversal of 100020101010010 is 10010101020001.

It can be written as a sum of positive squares in 8 ways, for example, as 51921867496489 + 48098233513521 = 7205683^2 + 6935289^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100020101009975 and 100020101010002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5550496041 + ... + 5550514060.

Almost surely, 2^{100020101010010} is an apocalyptic number.

100020101010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100020101010010 is a deficient number, since it is larger than the sum of its proper divisors (94203171734582).

100020101010010 is a wasteful number, since it uses less digits than its factorization.

100020101010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11101010178.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100020101010010 its reverse (10010101020001), we get a palindrome (110030202030011).

Subtracting from 100020101010010 its reverse (10010101020001), we obtain a palindrome (90009999990009).

The spelling of 100020101010010 in words is "one hundred trillion, twenty billion, one hundred one million, ten thousand, ten".