122100210200261 has 2 divisors, whose sum is σ = 122100210200262. Its totient is φ = 122100210200260.

The previous prime is 122100210200239. The next prime is 122100210200327. The reversal of 122100210200261 is 162002012001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100046385377761 + 22053824822500 = 10002319^2 + 4696150^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100210200261 - 2¹⁸ = 122100209938117 is a prime.

It is a super-2 number, since 2×122100210200261² (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 (122100230200261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050105100130 + 61050105100131.

It is an arithmetic number, because the mean of its divisors is an integer number (61050105100131).

Almost surely, 2^{122100210200261} is an apocalyptic number.

It is an amenable number.

122100210200261 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100210200261 is an equidigital number, since it uses as much as digits as its factorization.

122100210200261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 122100210200261 its reverse (162002012001221), we get a palindrome (284102222201482).

The spelling of 122100210200261 in words is "one hundred twenty-two trillion, one hundred billion, two hundred ten million, two hundred thousand, two hundred sixty-one".