101110001100010 has 512 divisors, whose sum is σ = 234092784844800. Its totient is φ = 30652501524480.

The previous prime is 101110001099957. The next prime is 101110001100029. The reversal of 101110001100010 is 10001100011101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 101110001099966 and 101110001100002.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 92169553782 + ... + 92169554878.

It is an arithmetic number, because the mean of its divisors is an integer number (457212470400).

Almost surely, 2^{101110001100010} is an apocalyptic number.

101110001100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101110001100010 is an abundant number, since it is smaller than the sum of its proper divisors (132982783744790).

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

101110001100010 is a wasteful number, since it uses less digits than its factorization.

101110001100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101110001100010 its reverse (10001100011101), we get a palindrome (111111101111111).

The spelling of 101110001100010 in words is "one hundred one trillion, one hundred ten billion, one million, one hundred thousand, ten".