101101111110100 has 144 divisors (see below), whose sum is σ = 225821515248000. Its totient is φ = 39273860160000.

The previous prime is 101101111110089. The next prime is 101101111110119. The reversal of 101101111110100 is 1011111101101.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 220951351 + ... + 221408449.

It is an arithmetic number, because the mean of its divisors is an integer number (1568204967000).

Almost surely, 2^{101101111110100} is an apocalyptic number.

101101111110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101111110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112910757624000).

101101111110100 is an abundant number, since it is smaller than the sum of its proper divisors (124720404137900).

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

101101111110100 is a wasteful number, since it uses less digits than its factorization.

101101111110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457634 (or 457627 counting only the distinct ones).

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

Adding to 101101111110100 its reverse (1011111101101), we get a palindrome (102112222211201).

The spelling of 101101111110100 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, one hundred ten thousand, one hundred".