101000110101100 has 144 divisors (see below), whose sum is σ = 254743070400000. Its totient is φ = 34039362424320.

The previous prime is 101000110101073. The next prime is 101000110101133. The reversal of 101000110101100 is 1101011000101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

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, 671008449 + ... + 671158951.

It is an arithmetic number, because the mean of its divisors is an integer number (1769049100000).

Almost surely, 2^{101000110101100} is an apocalyptic number.

101000110101100 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 101000110101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127371535200000).

101000110101100 is an abundant number, since it is smaller than the sum of its proper divisors (153742960298900).

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

101000110101100 is a wasteful number, since it uses less digits than its factorization.

101000110101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166832 (or 166825 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101000110101100 its reverse (1101011000101), we get a palindrome (102101121101201).

The spelling of 101000110101100 in words is "one hundred one trillion, one hundred ten million, one hundred one thousand, one hundred".