102101101201 has 32 divisors (see below), whose sum is σ = 116469964800. Its totient is φ = 88685712000.

The previous prime is 102101101187. The next prime is 102101101213.

102101101201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102101101201 - 2¹³ = 102101093009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102101101301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7203960 + ... + 7218118.

It is an arithmetic number, because the mean of its divisors is an integer number (3639686400).

Almost surely, 2^102101101201 is an apocalyptic number.

102101101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101101201 is a deficient number, since it is larger than the sum of its proper divisors (14368863599).

102101101201 is a wasteful number, since it uses less digits than its factorization.

102101101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14541.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 102101 and 101201, that multiplied together give a palindrome (10332723301).

The spelling of 102101101201 in words is "one hundred two billion, one hundred one million, one hundred one thousand, two hundred one".