101101110010002 has 192 divisors, whose sum is σ = 238683911760000. Its totient is φ = 31716265350528.

The previous prime is 101101110009997. The next prime is 101101110010003. The reversal of 101101110010002 is 200010011101101.

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

It is not an unprimeable number, because it can be changed into a prime (101101110010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1830088593 + ... + 1830143835.

It is an arithmetic number, because the mean of its divisors is an integer number (1243145373750).

Almost surely, 2^{101101110010002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101110010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119341955880000).

101101110010002 is an abundant number, since it is smaller than the sum of its proper divisors (137582801749998).

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

101101110010002 is a wasteful number, since it uses less digits than its factorization.

101101110010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55910 (or 55885 counting only the distinct ones).

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

Adding to 101101110010002 its reverse (200010011101101), we get a palindrome (301111121111103).

The spelling of 101101110010002 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, ten thousand, two".