102100121110101 has 16 divisors (see below), whose sum is σ = 137038662617600. Its totient is φ = 67614187330800.

The previous prime is 102100121110087. The next prime is 102100121110123. The reversal of 102100121110101 is 101011121001201.

It is not a de Polignac number, because 102100121110101 - 2²³ = 102100112721493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100121110301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14292450 + ... + 20210748.

It is an arithmetic number, because the mean of its divisors is an integer number (8564916413600).

Almost surely, 2^{102100121110101} is an apocalyptic number.

It is an amenable number.

102100121110101 is a deficient number, since it is larger than the sum of its proper divisors (34938541507499).

102100121110101 is a wasteful number, since it uses less digits than its factorization.

102100121110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956536.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102100121110101 its reverse (101011121001201), we get a palindrome (203111242111302).

The spelling of 102100121110101 in words is "one hundred two trillion, one hundred billion, one hundred twenty-one million, one hundred ten thousand, one hundred one".