101121011211011 has 8 divisors (see below), whose sum is σ = 113872341070848. Its totient is φ = 88962766461000.

The previous prime is 101121011210951. The next prime is 101121011211013. The reversal of 101121011211011 is 110112110121101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101121011211011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101121011211013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148271277095 + ... + 148271277776.

It is an arithmetic number, because the mean of its divisors is an integer number (14234042633856).

Almost surely, 2^{101121011211011} is an apocalyptic number.

101121011211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101121011211011 is a deficient number, since it is larger than the sum of its proper divisors (12751329859837).

101121011211011 is a wasteful number, since it uses less digits than its factorization.

101121011211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296542554913.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101121011211011 its reverse (110112110121101), we get a palindrome (211233121332112).

It can be divided in two parts, 1011210 and 11211011, that added together give a palindrome (12222221).

The spelling of 101121011211011 in words is "one hundred one trillion, one hundred twenty-one billion, eleven million, two hundred eleven thousand, eleven".