101011001001006 has 16 divisors (see below), whose sum is σ = 202036908237264. Its totient is φ = 33667849294464.

The previous prime is 101011001000977. The next prime is 101011001001007. The reversal of 101011001001006 is 600100100110101.

It is a junction number, because it is equal to n+sod(n) for n = 101011001000982 and 101011001001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011001001007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 621005041 + ... + 621167676.

It is an arithmetic number, because the mean of its divisors is an integer number (12627306764829).

Almost surely, 2^{101011001001006} is an apocalyptic number.

101011001001006 is an abundant number, since it is smaller than the sum of its proper divisors (101025907236258).

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

101011001001006 is a wasteful number, since it uses less digits than its factorization.

101011001001006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242186275.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101011001001006 its reverse (600100100110101), we get a palindrome (701111101111107).

The spelling of 101011001001006 in words is "one hundred one trillion, eleven billion, one million, one thousand, six".