20000100002101 has 2 divisors, whose sum is σ = 20000100002102. Its totient is φ = 20000100002100.

The previous prime is 20000100002039. The next prime is 20000100002177. The reversal of 20000100002101 is 10120000100002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17149992975025 + 2850107027076 = 4141255^2 + 1688226^2 .

It is a cyclic number.

It is not a de Polignac number, because 20000100002101 - 2²¹ = 20000097904949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20000100002191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000050001050 + 10000050001051.

It is an arithmetic number, because the mean of its divisors is an integer number (10000050001051).

Almost surely, 2^{20000100002101} is an apocalyptic number.

It is an amenable number.

20000100002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20000100002101 is an equidigital number, since it uses as much as digits as its factorization.

20000100002101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20000100002101 its reverse (10120000100002), we get a palindrome (30120100102103).

It can be divided in two parts, 20000100002 and 101, that multiplied together give a palindrome (2020010100202).

The spelling of 20000100002101 in words is "twenty trillion, one hundred million, two thousand, one hundred one".