10100020200101 has 16 divisors (see below), whose sum is σ = 11164713464688. Its totient is φ = 9079463232000.

The previous prime is 10100020200047. The next prime is 10100020200103. The reversal of 10100020200101 is 10100202000101.

It can be written as a sum of positive squares in 8 ways, for example, as 7161390625 + 10092858809476 = 84625^2 + 3176926^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100020200101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100020200103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62971736 + ... + 63131921.

It is an arithmetic number, because the mean of its divisors is an integer number (697794591543).

Almost surely, 2^{10100020200101} is an apocalyptic number.

It is an amenable number.

10100020200101 is a deficient number, since it is larger than the sum of its proper divisors (1064693264587).

10100020200101 is a wasteful number, since it uses less digits than its factorization.

10100020200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126103832.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100020200101 its reverse (10100202000101), we get a palindrome (20200222200202).

The spelling of 10100020200101 in words is "ten trillion, one hundred billion, twenty million, two hundred thousand, one hundred one".