11012102101 has 32 divisors (see below), whose sum is σ = 14850920448. Its totient is φ = 7885736640.

The previous prime is 11012102093. The next prime is 11012102113. The reversal of 11012102101 is 10120121011.

It is a cyclic number.

It is not a de Polignac number, because 11012102101 - 2³ = 11012102093 is a prime.

It is a super-2 number, since 2×11012102101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012102161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202996 + ... + 251458.

It is an arithmetic number, because the mean of its divisors is an integer number (464091264).

Almost surely, 2^11012102101 is an apocalyptic number.

11012102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11012102101 is a deficient number, since it is larger than the sum of its proper divisors (3838818347).

11012102101 is a wasteful number, since it uses less digits than its factorization.

11012102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48721.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11012102101 its reverse (10120121011), we get a palindrome (21132223112).

The spelling of 11012102101 in words is "eleven billion, twelve million, one hundred two thousand, one hundred one".