20021010102101 has 2 divisors, whose sum is σ = 20021010102102. Its totient is φ = 20021010102100.

The previous prime is 20021010102043. The next prime is 20021010102103. The reversal of 20021010102101 is 10120101012002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15443335899601 + 4577674202500 = 3929801^2 + 2139550^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20021010102101 is a prime.

It is a super-2 number, since 2×20021010102101² (a number of 27 digits) contains 22 as substring.

Together with 20021010102103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20021010102103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10010505051050 + 10010505051051.

It is an arithmetic number, because the mean of its divisors is an integer number (10010505051051).

Almost surely, 2^{20021010102101} is an apocalyptic number.

It is an amenable number.

20021010102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20021010102101 is an equidigital number, since it uses as much as digits as its factorization.

20021010102101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20021010102101 its reverse (10120101012002), we get a palindrome (30141111114103).

Subtracting from 20021010102101 its reverse (10120101012002), we obtain a palindrome (9900909090099).

The spelling of 20021010102101 in words is "twenty trillion, twenty-one billion, ten million, one hundred two thousand, one hundred one".