101102211001101 has 16 divisors (see below), whose sum is σ = 140257402565760. Its totient is φ = 64701115953600.

The previous prime is 101102211001087. The next prime is 101102211001117. The reversal of 101102211001101 is 101100112201101.

It is not a de Polignac number, because 101102211001101 - 2⁵ = 101102211001069 is a prime.

It is a super-2 number, since 2×101102211001101² (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 (101102211000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3358639225 + ... + 3358669326.

It is an arithmetic number, because the mean of its divisors is an integer number (8766087660360).

Almost surely, 2^{101102211001101} is an apocalyptic number.

It is an amenable number.

101102211001101 is a deficient number, since it is larger than the sum of its proper divisors (39155191564659).

101102211001101 is a wasteful number, since it uses less digits than its factorization.

101102211001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6717308756.

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

Adding to 101102211001101 its reverse (101100112201101), we get a palindrome (202202323202202).

The spelling of 101102211001101 in words is "one hundred one trillion, one hundred two billion, two hundred eleven million, one thousand, one hundred one".