2200101102121 has 8 divisors (see below), whose sum is σ = 2369369752904. Its totient is φ = 2030836752000.

The previous prime is 2200101102119. The next prime is 2200101102127. The reversal of 2200101102121 is 1212011010022.

It can be written as a sum of positive squares in 4 ways, for example, as 559984896 + 2199541117225 = 23664^2 + 1483085^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2200101102121 - 2¹ = 2200101102119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2200101102127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29371 + ... + 2097871.

It is an arithmetic number, because the mean of its divisors is an integer number (296171219113).

Almost surely, 2^{2200101102121} is an apocalyptic number.

It is an amenable number.

2200101102121 is a deficient number, since it is larger than the sum of its proper divisors (169268650783).

2200101102121 is a wasteful number, since it uses less digits than its factorization.

2200101102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150331.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2200101102121 its reverse (1212011010022), we get a palindrome (3412112112143).

The spelling of 2200101102121 in words is "two trillion, two hundred billion, one hundred one million, one hundred two thousand, one hundred twenty-one".