101101001100102 has 128 divisors (see below), whose sum is σ = 236867431680000. Its totient is φ = 31876196543136.

The previous prime is 101101001100101. The next prime is 101101001100139. The reversal of 101101001100102 is 201001100101101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101001100101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1922813649 + ... + 1922866227.

It is an arithmetic number, because the mean of its divisors is an integer number (1850526810000).

Almost surely, 2^{101101001100102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101001100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118433715840000).

101101001100102 is an abundant number, since it is smaller than the sum of its proper divisors (135766430579898).

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

101101001100102 is a wasteful number, since it uses less digits than its factorization.

101101001100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55535 (or 55529 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101101001100102 its reverse (201001100101101), we get a palindrome (302102101201203).

Subtracting 101101001100102 from its reverse (201001100101101), we obtain a palindrome (99900099000999).

The spelling of 101101001100102 in words is "one hundred one trillion, one hundred one billion, one million, one hundred thousand, one hundred two".