101102120110011 has 64 divisors (see below), whose sum is σ = 149489050480128. Its totient is φ = 60503560685568.

The previous prime is 101102120109953. The next prime is 101102120110039. The reversal of 101102120110011 is 110011021201101.

It is not a de Polignac number, because 101102120110011 - 2¹⁰ = 101102120108987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101102120110091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111862260 + ... + 112762446.

It is an arithmetic number, because the mean of its divisors is an integer number (2335766413752).

Almost surely, 2^{101102120110011} is an apocalyptic number.

101102120110011 is a deficient number, since it is larger than the sum of its proper divisors (48386930370117).

101102120110011 is a wasteful number, since it uses less digits than its factorization.

101102120110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901420.

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

Adding to 101102120110011 its reverse (110011021201101), we get a palindrome (211113141311112).

The spelling of 101102120110011 in words is "one hundred one trillion, one hundred two billion, one hundred twenty million, one hundred ten thousand, eleven".