1006101011051 has 8 divisors (see below), whose sum is σ = 1009694109504. Its totient is φ = 1002510325440.

The previous prime is 1006101010997. The next prime is 1006101011059. The reversal of 1006101011051 is 1501101016001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1006101011051 - 2¹⁰ = 1006101010027 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006101011059) 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, 234305 + ... + 1437741.

It is an arithmetic number, because the mean of its divisors is an integer number (126211763688).

Almost surely, 2^{1006101011051} is an apocalyptic number.

1006101011051 is a deficient number, since it is larger than the sum of its proper divisors (3593098453).

1006101011051 is a wasteful number, since it uses less digits than its factorization.

1006101011051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206421.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 1006101011051 its reverse (1501101016001), we get a palindrome (2507202027052).

The spelling of 1006101011051 in words is "one trillion, six billion, one hundred one million, eleven thousand, fifty-one".