20011121011201 has 2 divisors, whose sum is σ = 20011121011202. Its totient is φ = 20011121011200.

The previous prime is 20011121011187. The next prime is 20011121011241. The reversal of 20011121011201 is 10211012111002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16534104426225 + 3477016584976 = 4066215^2 + 1864676^2 .

It is a cyclic number.

It is not a de Polignac number, because 20011121011201 - 2⁵ = 20011121011169 is a prime.

It is not a weakly prime, because it can be changed into another prime (20011121011241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10005560505600 + 10005560505601.

It is an arithmetic number, because the mean of its divisors is an integer number (10005560505601).

Almost surely, 2^{20011121011201} is an apocalyptic number.

It is an amenable number.

20011121011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

20011121011201 is an equidigital number, since it uses as much as digits as its factorization.

20011121011201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 20011121011201 its reverse (10211012111002), we get a palindrome (30222133122203).

The spelling of 20011121011201 in words is "twenty trillion, eleven billion, one hundred twenty-one million, eleven thousand, two hundred one".