20101200022121 has 8 divisors (see below), whose sum is σ = 22017541606920. Its totient is φ = 18266404887808.

The previous prime is 20101200022103. The next prime is 20101200022129. The reversal of 20101200022121 is 12122000210102.

It can be written as a sum of positive squares in 4 ways, for example, as 1208581416025 + 18892618606096 = 1099355^2 + 4346564^2 .

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-20101200022121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20101200022096 and 20101200022105.

It is not an unprimeable number, because it can be changed into a prime (20101200022129) 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, 20386612106 + ... + 20386613091.

It is an arithmetic number, because the mean of its divisors is an integer number (2752192700865).

Almost surely, 2^{20101200022121} is an apocalyptic number.

It is an amenable number.

20101200022121 is a deficient number, since it is larger than the sum of its proper divisors (1916341584799).

20101200022121 is a wasteful number, since it uses less digits than its factorization.

20101200022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40773225243.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20101200022121 its reverse (12122000210102), we get a palindrome (32223200232223).

The spelling of 20101200022121 in words is "twenty trillion, one hundred one billion, two hundred million, twenty-two thousand, one hundred twenty-one".