101121112000011 has 32 divisors (see below), whose sum is σ = 149031854028288. Its totient is φ = 60663136033280.

The previous prime is 101121111999967. The next prime is 101121112000033. The reversal of 101121112000011 is 110000211121101.

It is a cyclic number.

It is not a de Polignac number, because 101121112000011 - 2³⁷ = 100983673046539 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101121102000011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16354320 + ... + 21672701.

It is an arithmetic number, because the mean of its divisors is an integer number (4657245438384).

Almost surely, 2^{101121112000011} is an apocalyptic number.

101121112000011 is a deficient number, since it is larger than the sum of its proper divisors (47910742028277).

101121112000011 is a wasteful number, since it uses less digits than its factorization.

101121112000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38029331.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101121112000011 its reverse (110000211121101), we get a palindrome (211121323121112).

The spelling of 101121112000011 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twelve million, eleven", and thus it is an aban number.