101112121121011 has 96 divisors (see below), whose sum is σ = 139666910475456. Its totient is φ = 71951265792000.

The previous prime is 101112121120963. The next prime is 101112121121027. The reversal of 101112121121011 is 110121121211101.

It is not a de Polignac number, because 101112121121011 - 2¹³ = 101112121112819 is a prime.

It is a super-2 number, since 2×101112121121011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101112121121051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244568991 + ... + 244982071.

It is an arithmetic number, because the mean of its divisors is an integer number (1454863650786).

Almost surely, 2^{101112121121011} is an apocalyptic number.

101112121121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101112121121011 is a deficient number, since it is larger than the sum of its proper divisors (38554789354445).

101112121121011 is a wasteful number, since it uses less digits than its factorization.

101112121121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413493 (or 413486 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 101112121121011 its reverse (110121121211101), we get a palindrome (211233242332112).

The spelling of 101112121121011 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty-one thousand, eleven".