101111100110010 has 128 divisors (see below), whose sum is σ = 272158724736000. Its totient is φ = 26710064677440.

The previous prime is 101111100110003. The next prime is 101111100110021. The reversal of 101111100110010 is 10011001111101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101111100109974 and 101111100110001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1597325341 + ... + 1597388639.

It is an arithmetic number, because the mean of its divisors is an integer number (2126240037000).

Almost surely, 2^{101111100110010} is an apocalyptic number.

101111100110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111100110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136079362368000).

101111100110010 is an abundant number, since it is smaller than the sum of its proper divisors (171047624625990).

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

101111100110010 is a wasteful number, since it uses less digits than its factorization.

101111100110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118713 (or 118707 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101111100110010 its reverse (10011001111101), we get a palindrome (111122101221111).

The spelling of 101111100110010 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, one hundred ten thousand, ten".