101001100010010 has 64 divisors (see below), whose sum is σ = 248957466292224. Its totient is φ = 26205332544000.

The previous prime is 101001100009907. The next prime is 101001100010011. The reversal of 101001100010010 is 10010001100101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101001100010011) 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, 86042535 + ... + 87208485.

It is an arithmetic number, because the mean of its divisors is an integer number (3889960410816).

Almost surely, 2^{101001100010010} is an apocalyptic number.

101001100010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001100010010 is an abundant number, since it is smaller than the sum of its proper divisors (147956366282214).

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

101001100010010 is a wasteful number, since it uses less digits than its factorization.

101001100010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244039.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101001100010010 its reverse (10010001100101), we get a palindrome (111011101110111).

The spelling of 101001100010010 in words is "one hundred one trillion, one billion, one hundred million, ten thousand, ten".