101000211111113 has 16 divisors (see below), whose sum is σ = 107251679525760. Its totient is φ = 94783279408896.

The previous prime is 101000211111091. The next prime is 101000211111127. The reversal of 101000211111113 is 311111112000101.

It is a cyclic number.

It is not a de Polignac number, because 101000211111113 - 2¹⁰ = 101000211110089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000211111413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52101506 + ... + 54005252.

It is an arithmetic number, because the mean of its divisors is an integer number (6703229970360).

Almost surely, 2^{101000211111113} is an apocalyptic number.

It is an amenable number.

101000211111113 is a deficient number, since it is larger than the sum of its proper divisors (6251468414647).

101000211111113 is a wasteful number, since it uses less digits than its factorization.

101000211111113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912816.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 101000211111113 its reverse (311111112000101), we get a palindrome (412111323111214).

The spelling of 101000211111113 in words is "one hundred one trillion, two hundred eleven million, one hundred eleven thousand, one hundred thirteen".