101020000022101 has 2 divisors, whose sum is σ = 101020000022102. Its totient is φ = 101020000022100.

The previous prime is 101020000022099. The next prime is 101020000022111. The reversal of 101020000022101 is 101220000020101.

It is an a-pointer prime, because the next prime (101020000022111) can be obtained adding 101020000022101 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82456388302500 + 18563611719601 = 9080550^2 + 4308551^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020000022101 - 2¹ = 101020000022099 is a prime.

Together with 101020000022099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101020000022111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510000011050 + 50510000011051.

It is an arithmetic number, because the mean of its divisors is an integer number (50510000011051).

Almost surely, 2^{101020000022101} is an apocalyptic number.

It is an amenable number.

101020000022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020000022101 is an equidigital number, since it uses as much as digits as its factorization.

101020000022101 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 10.

Adding to 101020000022101 its reverse (101220000020101), we get a palindrome (202240000042202).

The spelling of 101020000022101 in words is "one hundred one trillion, twenty billion, twenty-two thousand, one hundred one".