102101100322101 has 16 divisors (see below), whose sum is σ = 137928759072000. Its totient is φ = 67171305060288.

The previous prime is 102101100322099. The next prime is 102101100322187. The reversal of 102101100322101 is 101223001101201.

It is not a de Polignac number, because 102101100322101 - 2¹ = 102101100322099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101100322301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110057926 + ... + 110981751.

It is an arithmetic number, because the mean of its divisors is an integer number (8620547442000).

Almost surely, 2^{102101100322101} is an apocalyptic number.

It is an amenable number.

102101100322101 is a deficient number, since it is larger than the sum of its proper divisors (35827658749899).

102101100322101 is a wasteful number, since it uses less digits than its factorization.

102101100322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221041708.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 102101100322101 its reverse (101223001101201), we get a palindrome (203324101423302).

The spelling of 102101100322101 in words is "one hundred two trillion, one hundred one billion, one hundred million, three hundred twenty-two thousand, one hundred one".