10100101100020 has 48 divisors (see below), whose sum is σ = 21266296768080. Its totient is φ = 4029359215616.

The previous prime is 10100101100003. The next prime is 10100101100039. The reversal of 10100101100020 is 2000110100101.

It can be written as a sum of positive squares in 8 ways, for example, as 1737050192784 + 8363050907236 = 1317972^2 + 2891894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10100101099976 and 10100101100012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128276184 + ... + 128354896.

It is an arithmetic number, because the mean of its divisors is an integer number (443047849335).

Almost surely, 2^{10100101100020} is an apocalyptic number.

10100101100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100101100020 is an abundant number, since it is smaller than the sum of its proper divisors (11166195668060).

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

10100101100020 is a wasteful number, since it uses less digits than its factorization.

10100101100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95604 (or 95602 counting only the distinct ones).

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

Adding to 10100101100020 its reverse (2000110100101), we get a palindrome (12100211200121).

The spelling of 10100101100020 in words is "ten trillion, one hundred billion, one hundred one million, one hundred thousand, twenty".