101101111100010 has 48 divisors (see below), whose sum is σ = 300414730127616. Its totient is φ = 23108825394144.

The previous prime is 101101111100009. The next prime is 101101111100057. The reversal of 101101111100010 is 10001111101101.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101101111099965 and 101101111100001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80238976434 + ... + 80238977693.

It is an arithmetic number, because the mean of its divisors is an integer number (6258640210992).

Almost surely, 2^{101101111100010} is an apocalyptic number.

101101111100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101111100010 is an abundant number, since it is smaller than the sum of its proper divisors (199313619027606).

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

101101111100010 is a wasteful number, since it uses less digits than its factorization.

101101111100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160477954147 (or 160477954144 counting only the distinct ones).

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

Adding to 101101111100010 its reverse (10001111101101), we get a palindrome (111102222201111).

The spelling of 101101111100010 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, one hundred thousand, ten".