102100101120101 has 8 divisors (see below), whose sum is σ = 117718447815744. Its totient is φ = 86739908915520.

The previous prime is 102100101120097. The next prime is 102100101120119. The reversal of 102100101120101 is 101021101001201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102100101120101 - 2² = 102100101120097 is a prime.

It is a super-3 number, since 3×102100101120101³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100101120131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64538621915 + ... + 64538623496.

It is an arithmetic number, because the mean of its divisors is an integer number (14714805976968).

Almost surely, 2^{102100101120101} is an apocalyptic number.

It is an amenable number.

102100101120101 is a deficient number, since it is larger than the sum of its proper divisors (15618346695643).

102100101120101 is a wasteful number, since it uses less digits than its factorization.

102100101120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129077245531.

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

Adding to 102100101120101 its reverse (101021101001201), we get a palindrome (203121202121302).

The spelling of 102100101120101 in words is "one hundred two trillion, one hundred billion, one hundred one million, one hundred twenty thousand, one hundred one".