2010101121121 has 2 divisors, whose sum is σ = 2010101121122. Its totient is φ = 2010101121120.

The previous prime is 2010101121107. The next prime is 2010101121163. The reversal of 2010101121121 is 1211211010102.

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., 1252698177600 + 757402943521 = 1119240^2 + 870289^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010101121121 - 2¹⁵ = 2010101088353 is a prime.

It is a super-2 number, since 2×2010101121121² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2010101161121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005050560560 + 1005050560561.

It is an arithmetic number, because the mean of its divisors is an integer number (1005050560561).

Almost surely, 2^{2010101121121} is an apocalyptic number.

It is an amenable number.

2010101121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010101121121 is an equidigital number, since it uses as much as digits as its factorization.

2010101121121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2010101121121 its reverse (1211211010102), we get a palindrome (3221312131223).

The spelling of 2010101121121 in words is "two trillion, ten billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty-one".