10100101110010 has 64 divisors (see below), whose sum is σ = 19101617510400. Its totient is φ = 3837712792320.

The previous prime is 10100101109999. The next prime is 10100101110017. The reversal of 10100101110010 is 1001110100101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10100101109975 and 10100101110002.

It is not an unprimeable number, because it can be changed into a prime (10100101110017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198432124 + ... + 198483016.

It is an arithmetic number, because the mean of its divisors is an integer number (298462773600).

Almost surely, 2^{10100101110010} is an apocalyptic number.

10100101110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100101110010 is a deficient number, since it is larger than the sum of its proper divisors (9001516400390).

10100101110010 is a wasteful number, since it uses less digits than its factorization.

10100101110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56863.

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

Adding to 10100101110010 its reverse (1001110100101), we get a palindrome (11101211210111).

The spelling of 10100101110010 in words is "ten trillion, one hundred billion, one hundred one million, one hundred ten thousand, ten".