101101110121100 has 72 divisors (see below), whose sum is σ = 219751774809168. Its totient is φ = 40373665516800.

The previous prime is 101101110121069. The next prime is 101101110121117. The reversal of 101101110121100 is 1121011101101.

It is a happy number.

It is a super-3 number, since 3×101101110121100³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494127419 + ... + 494331981.

Almost surely, 2^{101101110121100} is an apocalyptic number.

101101110121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101110121100 is an abundant number, since it is smaller than the sum of its proper divisors (118650664688068).

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

101101110121100 is a wasteful number, since it uses less digits than its factorization.

101101110121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212715 (or 212708 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101101110121100 its reverse (1121011101101), we get a palindrome (102222121222201).

The spelling of 101101110121100 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one hundred twenty-one thousand, one hundred".