101101144011102 has 160 divisors (see below), whose sum is σ = 229798782791424. Its totient is φ = 33218760960000.

The previous prime is 101101144011089. The next prime is 101101144011137. The reversal of 101101144011102 is 201110441101101.

It is a happy number.

101101144011102 is a `hidden beast` number, since 1 + 0 + 110 + 1 + 1 + 440 + 1 + 110 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8752582227 + ... + 8752593777.

Almost surely, 2^{101101144011102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101144011102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114899391395712).

101101144011102 is an abundant number, since it is smaller than the sum of its proper divisors (128697638780322).

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

101101144011102 is a wasteful number, since it uses less digits than its factorization.

101101144011102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13856 (or 13847 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101101144011102 its reverse (201110441101101), we get a palindrome (302211585112203).

The spelling of 101101144011102 in words is "one hundred one trillion, one hundred one billion, one hundred forty-four million, eleven thousand, one hundred two".