100122002002261 has 2 divisors, whose sum is σ = 100122002002262. Its totient is φ = 100122002002260.

The previous prime is 100122002002249. The next prime is 100122002002277. The reversal of 100122002002261 is 162200200221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98505505900036 + 1616496102225 = 9924994^2 + 1271415^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122002002261 - 2¹⁷ = 100122001871189 is a prime.

It is a super-2 number, since 2×100122002002261² (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 (100122002002361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061001001130 + 50061001001131.

It is an arithmetic number, because the mean of its divisors is an integer number (50061001001131).

Almost surely, 2^{100122002002261} is an apocalyptic number.

It is an amenable number.

100122002002261 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122002002261 is an equidigital number, since it uses as much as digits as its factorization.

100122002002261 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 19.

Adding to 100122002002261 its reverse (162200200221001), we get a palindrome (262322202223262).

The spelling of 100122002002261 in words is "one hundred trillion, one hundred twenty-two billion, two million, two thousand, two hundred sixty-one".