102201001102121 has 8 divisors (see below), whose sum is σ = 103255595341704. Its totient is φ = 101147244179200.

The previous prime is 102201001102099. The next prime is 102201001102129. The reversal of 102201001102121 is 121201100102201.

It can be written as a sum of positive squares in 4 ways, for example, as 79486140250000 + 22714860852121 = 8915500^2 + 4766011^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102201001102121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102201001102096 and 102201001102105.

It is not an unprimeable number, because it can be changed into a prime (102201001102129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209083790 + ... + 209572023.

It is an arithmetic number, because the mean of its divisors is an integer number (12906949417713).

Almost surely, 2^{102201001102121} is an apocalyptic number.

It is an amenable number.

102201001102121 is a deficient number, since it is larger than the sum of its proper divisors (1054594239583).

102201001102121 is a wasteful number, since it uses less digits than its factorization.

102201001102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418658331.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102201001102121 its reverse (121201100102201), we get a palindrome (223402101204322).

The spelling of 102201001102121 in words is "one hundred two trillion, two hundred one billion, one million, one hundred two thousand, one hundred twenty-one".