101101141101100 has 54 divisors (see below), whose sum is σ = 255208166191860. Its totient is φ = 34663248375840.

The previous prime is 101101141101053. The next prime is 101101141101101. The reversal of 101101141101100 is 1101141101101.

It is not an unprimeable number, because it can be changed into a prime (101101141101101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10316438070 + ... + 10316447869.

Almost surely, 2^{101101141101100} is an apocalyptic number.

101101141101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101141101100 is an abundant number, since it is smaller than the sum of its proper divisors (154107025090760).

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

101101141101100 is a wasteful number, since it uses less digits than its factorization.

101101141101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20632885967 (or 20632885953 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101101141101100 its reverse (1101141101101), we get a palindrome (102202282202201).

Subtracting from 101101141101100 its reverse (1101141101101), we obtain a palindrome (99999999999999).

The spelling of 101101141101100 in words is "one hundred one trillion, one hundred one billion, one hundred forty-one million, one hundred one thousand, one hundred".