10100201121011 has 2 divisors, whose sum is σ = 10100201121012. Its totient is φ = 10100201121010.

The previous prime is 10100201120987. The next prime is 10100201121013. The reversal of 10100201121011 is 11012110200101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100201121011 - 2³⁴ = 10083021251827 is a prime.

It is a super-2 number, since 2×10100201121011² (a number of 27 digits) contains 22 as substring.

Together with 10100201121013, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100201120983 and 10100201121001.

It is not a weakly prime, because it can be changed into another prime (10100201121013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050100560505 + 5050100560506.

It is an arithmetic number, because the mean of its divisors is an integer number (5050100560506).

Almost surely, 2^{10100201121011} is an apocalyptic number.

10100201121011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100201121011 is an equidigital number, since it uses as much as digits as its factorization.

10100201121011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10100201121011 its reverse (11012110200101), we get a palindrome (21112311321112).

The spelling of 10100201121011 in words is "ten trillion, one hundred billion, two hundred one million, one hundred twenty-one thousand, eleven".