101102210111 has 16 divisors (see below), whose sum is σ = 117191467008. Its totient is φ = 85429010400.

The previous prime is 101102210101. The next prime is 101102210117. The reversal of 101102210111 is 111012201101.

It is a cyclic number.

It is not a de Polignac number, because 101102210111 - 2⁶ = 101102210047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102210092 and 101102210101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102210117) 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 15 ways as a sum of consecutive naturals, for example, 79106 + ... + 456576.

It is an arithmetic number, because the mean of its divisors is an integer number (7324466688).

Almost surely, 2^101102210111 is an apocalyptic number.

101102210111 is a deficient number, since it is larger than the sum of its proper divisors (16089256897).

101102210111 is an equidigital number, since it uses as much as digits as its factorization.

101102210111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378022.

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

Adding to 101102210111 its reverse (111012201101), we get a palindrome (212114411212).

The spelling of 101102210111 in words is "one hundred one billion, one hundred two million, two hundred ten thousand, one hundred eleven".