1006055101101 has 32 divisors (see below), whose sum is σ = 1442438000640. Its totient is φ = 621716624064.

The previous prime is 1006055101087. The next prime is 1006055101141. The reversal of 1006055101101 is 1011015506001.

It is a happy number.

It is not a de Polignac number, because 1006055101101 - 2⁵ = 1006055101069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006055101141) 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, 10300371 + ... + 10397583.

It is an arithmetic number, because the mean of its divisors is an integer number (45076187520).

Almost surely, 2^{1006055101101} is an apocalyptic number.

It is an amenable number.

1006055101101 is a deficient number, since it is larger than the sum of its proper divisors (436382899539).

1006055101101 is a wasteful number, since it uses less digits than its factorization.

1006055101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101145.

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 1006055101101 in words is "one trillion, six billion, fifty-five million, one hundred one thousand, one hundred one".