101201011131111 has 64 divisors (see below), whose sum is σ = 139733856138240. Its totient is φ = 65100607441920.

The previous prime is 101201011131041. The next prime is 101201011131113. The reversal of 101201011131111 is 111131110102101.

It is a happy number.

It is not a de Polignac number, because 101201011131111 - 2¹⁷ = 101201011000039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201011131113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18633952566 + ... + 18633957996.

It is an arithmetic number, because the mean of its divisors is an integer number (2183341502160).

Almost surely, 2^{101201011131111} is an apocalyptic number.

101201011131111 is a deficient number, since it is larger than the sum of its proper divisors (38532845007129).

101201011131111 is a wasteful number, since it uses less digits than its factorization.

101201011131111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8456.

The product of its (nonzero) digits is 6, while the sum is 15.

Adding to 101201011131111 its reverse (111131110102101), we get a palindrome (212332121233212).

The spelling of 101201011131111 in words is "one hundred one trillion, two hundred one billion, eleven million, one hundred thirty-one thousand, one hundred eleven".