101121001011011 has 4 divisors (see below), whose sum is σ = 101121120806472. Its totient is φ = 101120881215552.

The previous prime is 101121001011001. The next prime is 101121001011071. The reversal of 101121001011011 is 110110100121101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 101121001011011 - 2¹⁴ = 101121000994627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101121001010983 and 101121001011001.

It is not an unprimeable number, because it can be changed into a prime (101121001011001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58622510 + ... + 60322803.

It is an arithmetic number, because the mean of its divisors is an integer number (25280280201618).

Almost surely, 2^{101121001011011} is an apocalyptic number.

101121001011011 is a deficient number, since it is larger than the sum of its proper divisors (119795461).

101121001011011 is an equidigital number, since it uses as much as digits as its factorization.

101121001011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119795460.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101121001011011 its reverse (110110100121101), we get a palindrome (211231101132112).

The spelling of 101121001011011 in words is "one hundred one trillion, one hundred twenty-one billion, one million, eleven thousand, eleven".