102120110100101 has 2 divisors, whose sum is σ = 102120110100102. Its totient is φ = 102120110100100.

The previous prime is 102120110100091. The next prime is 102120110100133. The reversal of 102120110100101 is 101001011021201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57731883422500 + 44388226677601 = 7598150^2 + 6662449^2 .

It is a cyclic number.

It is not a de Polignac number, because 102120110100101 - 2³⁰ = 102119036358277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102120110100181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060055050050 + 51060055050051.

It is an arithmetic number, because the mean of its divisors is an integer number (51060055050051).

Almost surely, 2^{102120110100101} is an apocalyptic number.

It is an amenable number.

102120110100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102120110100101 is an equidigital number, since it uses as much as digits as its factorization.

102120110100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102120110100101 its reverse (101001011021201), we get a palindrome (203121121121302).

It can be divided in two parts, 1021201 and 10100101, that multiplied together give a palindrome (10314233241301).

The spelling of 102120110100101 in words is "one hundred two trillion, one hundred twenty billion, one hundred ten million, one hundred thousand, one hundred one".