101201002028101 has 2 divisors, whose sum is σ = 101201002028102. Its totient is φ = 101201002028100.

The previous prime is 101201002027999. The next prime is 101201002028173. The reversal of 101201002028101 is 101820200102101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88479439135201 + 12721562892900 = 9406351^2 + 3566730^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201002028101 - 2⁴⁵ = 66016629939269 is a prime.

It is a super-2 number, since 2×101201002028101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101201002028501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600501014050 + 50600501014051.

It is an arithmetic number, because the mean of its divisors is an integer number (50600501014051).

Almost surely, 2^{101201002028101} is an apocalyptic number.

It is an amenable number.

101201002028101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201002028101 is an equidigital number, since it uses as much as digits as its factorization.

101201002028101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 19.

The spelling of 101201002028101 in words is "one hundred one trillion, two hundred one billion, two million, twenty-eight thousand, one hundred one".