101111020111101 has 216 divisors, whose sum is σ = 191703044588832. Its totient is φ = 47174352825600.

The previous prime is 101111020111099. The next prime is 101111020111111.

101111020111101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101111020111101 - 2¹ = 101111020111099 is a prime.

It is a super-3 number, since 3×101111020111101³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111020111111) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 110767566 + ... + 111676656.

Almost surely, 2^{101111020111101} is an apocalyptic number.

101111020111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101111020111101 is a deficient number, since it is larger than the sum of its proper divisors (90592024477731).

101111020111101 is a wasteful number, since it uses less digits than its factorization.

101111020111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909193 (or 909162 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

The spelling of 101111020111101 in words is "one hundred one trillion, one hundred eleven billion, twenty million, one hundred eleven thousand, one hundred one".