101011101111100 has 72 divisors (see below), whose sum is σ = 219307215019760. Its totient is φ = 40383591621120.

The previous prime is 101011101111017. The next prime is 101011101111103. The reversal of 101011101111100 is 1111101110101.

It is a happy number.

It is a super-3 number, since 3×101011101111100³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011101111103) 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 23 ways as a sum of consecutive naturals, for example, 3073125466 + ... + 3073158334.

Almost surely, 2^{101011101111100} is an apocalyptic number.

101011101111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011101111100 is an abundant number, since it is smaller than the sum of its proper divisors (118296113908660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101011101111100 is a wasteful number, since it uses less digits than its factorization.

101011101111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47807 (or 47800 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101011101111100 its reverse (1111101110101), we get a palindrome (102122202221201).

Subtracting from 101011101111100 its reverse (1111101110101), we obtain a palindrome (99900000000999).

The spelling of 101011101111100 in words is "one hundred one trillion, eleven billion, one hundred one million, one hundred eleven thousand, one hundred".