101001121211 has 4 divisors (see below), whose sum is σ = 101605918512. Its totient is φ = 100396323912.

The previous prime is 101001121129. The next prime is 101001121241. The reversal of 101001121211 is 112121100101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 112121100101 = 1091 ⋅102769111.

It is a cyclic number.

It is not a de Polignac number, because 101001121211 - 2³⁴ = 83821252027 is a prime.

It is a super-2 number, since 2×101001121211² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001121192 and 101001121201.

It is not an unprimeable number, because it can be changed into a prime (101001121241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 302398400 + ... + 302398733.

It is an arithmetic number, because the mean of its divisors is an integer number (25401479628).

Almost surely, 2^101001121211 is an apocalyptic number.

101001121211 is a deficient number, since it is larger than the sum of its proper divisors (604797301).

101001121211 is an equidigital number, since it uses as much as digits as its factorization.

101001121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604797300.

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

Adding to 101001121211 its reverse (112121100101), we get a palindrome (213122221312).

It can be divided in two parts, 10100 and 1121211, that added together give a palindrome (1131311).

The spelling of 101001121211 in words is "one hundred one billion, one million, one hundred twenty-one thousand, two hundred eleven".