101101001000010 has 192 divisors, whose sum is σ = 280760948012160. Its totient is φ = 23217907046400.

The previous prime is 101101000999913. The next prime is 101101001000071. The reversal of 101101001000010 is 10000100101101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1406469270 + ... + 1406541150.

It is an arithmetic number, because the mean of its divisors is an integer number (1462296604230).

Almost surely, 2^{101101001000010} is an apocalyptic number.

101101001000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101001000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140380474006080).

101101001000010 is an abundant number, since it is smaller than the sum of its proper divisors (179659947012150).

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

101101001000010 is a wasteful number, since it uses less digits than its factorization.

101101001000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92325 (or 92314 counting only the distinct ones).

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

Adding to 101101001000010 its reverse (10000100101101), we get a palindrome (111101101101111).

The spelling of 101101001000010 in words is "one hundred one trillion, one hundred one billion, one million, ten", and thus it is an aban number.