101022211100111 has 8 divisors (see below), whose sum is σ = 115456119690240. Its totient is φ = 86588843546808.

The previous prime is 101022211100029. The next prime is 101022211100131. The reversal of 101022211100111 is 111001112220101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101022211100111 - 2²⁶ = 101022143991247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022211100131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134859011 + ... + 135606036.

It is an arithmetic number, because the mean of its divisors is an integer number (14432014961280).

Almost surely, 2^{101022211100111} is an apocalyptic number.

101022211100111 is a deficient number, since it is larger than the sum of its proper divisors (14433908590129).

101022211100111 is an equidigital number, since it uses as much as digits as its factorization.

101022211100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270518413.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101022211100111 its reverse (111001112220101), we get a palindrome (212023323320212).

The spelling of 101022211100111 in words is "one hundred one trillion, twenty-two billion, two hundred eleven million, one hundred thousand, one hundred eleven".