20000101022101 has 4 divisors (see below), whose sum is σ = 20035250585100. Its totient is φ = 19964951459104.

The previous prime is 20000101022071. The next prime is 20000101022113. The reversal of 20000101022101 is 10122010100002.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 11944806927876 + 8055294094225 = 3456126^2 + 2838185^2 .

It is a cyclic number.

It is not a de Polignac number, because 20000101022101 - 2¹³ = 20000101013909 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 (20000101022171) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17574780646 + ... + 17574781783.

It is an arithmetic number, because the mean of its divisors is an integer number (5008812646275).

Almost surely, 2^{20000101022101} is an apocalyptic number.

It is an amenable number.

20000101022101 is a deficient number, since it is larger than the sum of its proper divisors (35149562999).

20000101022101 is an equidigital number, since it uses as much as digits as its factorization.

20000101022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35149562998.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20000101022101 its reverse (10122010100002), we get a palindrome (30122111122103).

It can be divided in two parts, 2000010 and 1022101, that added together give a triangular number (3022111 = T₂₄₅₈).

The spelling of 20000101022101 in words is "twenty trillion, one hundred one million, twenty-two thousand, one hundred one".