101111101110100 has 18 divisors (see below), whose sum is σ = 219411089409134. Its totient is φ = 40444440444000.

The previous prime is 101111101110083. The next prime is 101111101110113. The reversal of 101111101110100 is 1011101111101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 15521440955076 + 85589660155024 = 3939726^2 + 9251468^2 .

It is a super-3 number, since 3×101111101110100³ (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 an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505555505451 + ... + 505555505650.

Almost surely, 2^{101111101110100} is an apocalyptic number.

101111101110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111101110100 is an abundant number, since it is smaller than the sum of its proper divisors (118299988299034).

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

101111101110100 is a wasteful number, since it uses less digits than its factorization.

101111101110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011111011115 (or 1011111011108 counting only the distinct ones).

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

Adding to 101111101110100 its reverse (1011101111101), we get a palindrome (102122202221201).

The spelling of 101111101110100 in words is "one hundred one trillion, one hundred eleven billion, one hundred one million, one hundred ten thousand, one hundred".