11101001101971 has 32 divisors (see below), whose sum is σ = 16668165636096. Its totient is φ = 6510699972000.

The previous prime is 11101001101921. The next prime is 11101001101973. The reversal of 11101001101971 is 17910110010111.

It is not a de Polignac number, because 11101001101971 - 2²⁷ = 11100866884243 is a prime.

It is a super-2 number, since 2×11101001101971² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11101001101973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56341590 + ... + 56538276.

It is an arithmetic number, because the mean of its divisors is an integer number (520880176128).

Almost surely, 2^{11101001101971} is an apocalyptic number.

11101001101971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11101001101971 is a deficient number, since it is larger than the sum of its proper divisors (5567164534125).

11101001101971 is a wasteful number, since it uses less digits than its factorization.

11101001101971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251903.

The product of its (nonzero) digits is 63, while the sum is 24.

The spelling of 11101001101971 in words is "eleven trillion, one hundred one billion, one million, one hundred one thousand, nine hundred seventy-one".