101010011000010 has 32 divisors (see below), whose sum is σ = 277056030172032. Its totient is φ = 23088002514240.

The previous prime is 101010010999951. The next prime is 101010011000029. The reversal of 101010011000010 is 10000110010101.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240500025981 + ... + 240500026400.

It is an arithmetic number, because the mean of its divisors is an integer number (8658000942876).

Almost surely, 2^{101010011000010} is an apocalyptic number.

101010011000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101010011000010 is an abundant number, since it is smaller than the sum of its proper divisors (176046019172022).

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

101010011000010 is a wasteful number, since it uses less digits than its factorization.

101010011000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481000052398.

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

Adding to 101010011000010 its reverse (10000110010101), we get a palindrome (111010121010111).

The spelling of 101010011000010 in words is "one hundred one trillion, ten billion, eleven million, ten", and thus it is an aban number.