101121120012011 has 8 divisors (see below), whose sum is σ = 110314028335104. Its totient is φ = 91928224894120.

The previous prime is 101121120011971. The next prime is 101121120012019. The reversal of 101121120012011 is 110210021121101.

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-101121120012011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101121120012019) 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 7 ways as a sum of consecutive naturals, for example, 19644230 + ... + 24251556.

It is an arithmetic number, because the mean of its divisors is an integer number (13789253541888).

Almost surely, 2^{101121120012011} is an apocalyptic number.

101121120012011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101121120012011 is a deficient number, since it is larger than the sum of its proper divisors (9192908323093).

101121120012011 is a wasteful number, since it uses less digits than its factorization.

101121120012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6602601.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101121120012011 its reverse (110210021121101), we get a palindrome (211331141133112).

The spelling of 101121120012011 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty million, twelve thousand, eleven".