122033021102101 has 2 divisors, whose sum is σ = 122033021102102. Its totient is φ = 122033021102100.

The previous prime is 122033021102089. The next prime is 122033021102147. The reversal of 122033021102101 is 101201120330221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76720063482001 + 45312957620100 = 8758999^2 + 6731490^2 .

It is an emirp because it is prime and its reverse (101201120330221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122033021102101 - 2⁷ = 122033021101973 is a prime.

It is a super-2 number, since 2×122033021102101² (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 (122033021202101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61016510551050 + 61016510551051.

It is an arithmetic number, because the mean of its divisors is an integer number (61016510551051).

Almost surely, 2^{122033021102101} is an apocalyptic number.

It is an amenable number.

122033021102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122033021102101 is an equidigital number, since it uses as much as digits as its factorization.

122033021102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122033021102101 its reverse (101201120330221), we get a palindrome (223234141432322).

The spelling of 122033021102101 in words is "one hundred twenty-two trillion, thirty-three billion, twenty-one million, one hundred two thousand, one hundred one".