101020021010101 has 2 divisors, whose sum is σ = 101020021010102. Its totient is φ = 101020021010100.

The previous prime is 101020021010099. The next prime is 101020021010113. The reversal of 101020021010101 is 101010120020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62254467022500 + 38765553987601 = 7890150^2 + 6226199^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020021010101 - 2¹ = 101020021010099 is a prime.

Together with 101020021010099, 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 (101020021010171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510010505050 + 50510010505051.

It is an arithmetic number, because the mean of its divisors is an integer number (50510010505051).

Almost surely, 2^{101020021010101} is an apocalyptic number.

It is an amenable number.

101020021010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020021010101 is an equidigital number, since it uses as much as digits as its factorization.

101020021010101 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 10.

Adding to 101020021010101 its reverse (101010120020101), we get a palindrome (202030141030202).

The spelling of 101020021010101 in words is "one hundred one trillion, twenty billion, twenty-one million, ten thousand, one hundred one".