101101101110100 has 360 divisors, whose sum is σ = 403359792015488. Its totient is φ = 21331221177600.

The previous prime is 101101101110057. The next prime is 101101101110123. The reversal of 101101101110100 is 1011101101101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67843216 + ... + 69317415.

Almost surely, 2^{101101101110100} is an apocalyptic number.

101101101110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101101110100 is an abundant number, since it is smaller than the sum of its proper divisors (302258690905388).

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

101101101110100 is a wasteful number, since it uses less digits than its factorization.

101101101110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137160677 (or 137160661 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101101101110100 its reverse (1011101101101), we get a palindrome (102112202211201).

The spelling of 101101101110100 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one hundred ten thousand, one hundred".