102120120100101 has 16 divisors (see below), whose sum is σ = 136276440552000. Its totient is φ = 68021946315648.

The previous prime is 102120120100091. The next prime is 102120120100177. The reversal of 102120120100101 is 101001021021201.

It is not a de Polignac number, because 102120120100101 - 2¹⁹ = 102120119575813 is a prime.

It is a super-3 number, since 3×102120120100101³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120120102101) 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, 63172875 + ... + 64769223.

It is an arithmetic number, because the mean of its divisors is an integer number (8517277534500).

Almost surely, 2^{102120120100101} is an apocalyptic number.

It is an amenable number.

102120120100101 is a deficient number, since it is larger than the sum of its proper divisors (34156320451899).

102120120100101 is a wasteful number, since it uses less digits than its factorization.

102120120100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614548.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102120120100101 its reverse (101001021021201), we get a palindrome (203121141121302).

The spelling of 102120120100101 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty million, one hundred thousand, one hundred one".