102100002001101 has 96 divisors (see below), whose sum is σ = 176366976065280. Its totient is φ = 56276632000512.

The previous prime is 102100002001099. The next prime is 102100002001117. The reversal of 102100002001101 is 101100200001201.

It is a happy number.

It is not a de Polignac number, because 102100002001101 - 2¹ = 102100002001099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100002001121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3347590 + ... + 14676728.

It is an arithmetic number, because the mean of its divisors is an integer number (1837156000680).

Almost surely, 2^{102100002001101} is an apocalyptic number.

It is an amenable number.

102100002001101 is a deficient number, since it is larger than the sum of its proper divisors (74266974064179).

102100002001101 is a wasteful number, since it uses less digits than its factorization.

102100002001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11329395 (or 11329392 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102100002001101 its reverse (101100200001201), we get a palindrome (203200202002302).

The spelling of 102100002001101 in words is "one hundred two trillion, one hundred billion, two million, one thousand, one hundred one".