100121010001997 has 2 divisors, whose sum is σ = 100121010001998. Its totient is φ = 100121010001996.

The previous prime is 100121010001981. The next prime is 100121010002029. The reversal of 100121010001997 is 799100010121001.

It is an a-pointer prime, because the next prime (100121010002029) can be obtained adding 100121010001997 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97018835834596 + 3102174167401 = 9849814^2 + 1761299^2 .

It is an emirp because it is prime and its reverse (799100010121001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100121010001997 - 2⁴ = 100121010001981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121010001927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060505000998 + 50060505000999.

It is an arithmetic number, because the mean of its divisors is an integer number (50060505000999).

Almost surely, 2^{100121010001997} is an apocalyptic number.

It is an amenable number.

100121010001997 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121010001997 is an equidigital number, since it uses as much as digits as its factorization.

100121010001997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 32.

Adding to 100121010001997 its reverse (799100010121001), we get a palindrome (899221020122998).

The spelling of 100121010001997 in words is "one hundred trillion, one hundred twenty-one billion, ten million, one thousand, nine hundred ninety-seven".