101102002011101 has 32 divisors (see below), whose sum is σ = 125271284140800. Its totient is φ = 79454070918144.

The previous prime is 101102002011097. The next prime is 101102002011139. The reversal of 101102002011101 is 101110200201101.

It is not a de Polignac number, because 101102002011101 - 2² = 101102002011097 is a prime.

It is a super-2 number, since 2×101102002011101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102002011301) 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 31 ways as a sum of consecutive naturals, for example, 1021255061 + ... + 1021354053.

It is an arithmetic number, because the mean of its divisors is an integer number (3914727629400).

Almost surely, 2^{101102002011101} is an apocalyptic number.

It is an amenable number.

101102002011101 is a deficient number, since it is larger than the sum of its proper divisors (24169282129699).

101102002011101 is a wasteful number, since it uses less digits than its factorization.

101102002011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174485.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101102002011101 its reverse (101110200201101), we get a palindrome (202212202212202).

The spelling of 101102002011101 in words is "one hundred one trillion, one hundred two billion, two million, eleven thousand, one hundred one".