1000106001011 has 16 divisors (see below), whose sum is σ = 1088177098848. Its totient is φ = 913667040000.

The previous prime is 1000106000947. The next prime is 1000106001043. The reversal of 1000106001011 is 1101006010001.

It is not a de Polignac number, because 1000106001011 - 2⁶ = 1000106000947 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000106000983 and 1000106001001.

It is not an unprimeable number, because it can be changed into a prime (1000106001061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258740 + ... + 1437761.

It is an arithmetic number, because the mean of its divisors is an integer number (68011068678).

Almost surely, 2^{1000106001011} is an apocalyptic number.

1000106001011 is a deficient number, since it is larger than the sum of its proper divisors (88071097837).

1000106001011 is a wasteful number, since it uses less digits than its factorization.

1000106001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696982.

The product of its (nonzero) digits is 6, while the sum is 11.

The spelling of 1000106001011 in words is "one trillion, one hundred six million, one thousand, eleven".