102201101121101 has 4 divisors (see below), whose sum is σ = 102475098711612. Its totient is φ = 101927103530592.

The previous prime is 102201101121089. The next prime is 102201101121103. The reversal of 102201101121101 is 101121101102201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 27853336195876 + 74347764925225 = 5277626^2 + 8622515^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102201101121101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201101121103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136998794696 + ... + 136998795441.

It is an arithmetic number, because the mean of its divisors is an integer number (25618774677903).

Almost surely, 2^{102201101121101} is an apocalyptic number.

It is an amenable number.

102201101121101 is a deficient number, since it is larger than the sum of its proper divisors (273997590511).

102201101121101 is an equidigital number, since it uses as much as digits as its factorization.

102201101121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273997590510.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102201101121101 its reverse (101121101102201), we get a palindrome (203322202223302).

It can be divided in two parts, 102201 and 101121101, that multiplied together give a palindrome (10334677643301).

The spelling of 102201101121101 in words is "one hundred two trillion, two hundred one billion, one hundred one million, one hundred twenty-one thousand, one hundred one".