101202222102101 has 2 divisors, whose sum is σ = 101202222102102. Its totient is φ = 101202222102100.

The previous prime is 101202222102089. The next prime is 101202222102109. The reversal of 101202222102101 is 101201222202101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97687624527025 + 3514597575076 = 9883705^2 + 1874726^2 .

It is a cyclic number.

It is not a de Polignac number, because 101202222102101 - 2³⁴ = 101185042232917 is a prime.

It is a super-2 number, since 2×101202222102101² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101202222102101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101202222102109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50601111051050 + 50601111051051.

It is an arithmetic number, because the mean of its divisors is an integer number (50601111051051).

Almost surely, 2^{101202222102101} is an apocalyptic number.

It is an amenable number.

101202222102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101202222102101 is an equidigital number, since it uses as much as digits as its factorization.

101202222102101 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 17.

Adding to 101202222102101 its reverse (101201222202101), we get a palindrome (202403444304202).

The spelling of 101202222102101 in words is "one hundred one trillion, two hundred two billion, two hundred twenty-two million, one hundred two thousand, one hundred one".