101111002000106 has 32 divisors (see below), whose sum is σ = 173382652085760. Its totient is φ = 43320911673600.

The previous prime is 101111002000103. The next prime is 101111002000109. The reversal of 101111002000106 is 601000200111101.

It is an interprime number because it is at equal distance from previous prime (101111002000103) and next prime (101111002000109).

It is a super-2 number, since 2×101111002000106² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (101111002000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 907510130 + ... + 907621538.

It is an arithmetic number, because the mean of its divisors is an integer number (5418207877680).

Almost surely, 2^{101111002000106} is an apocalyptic number.

101111002000106 is a deficient number, since it is larger than the sum of its proper divisors (72271650085654).

101111002000106 is a wasteful number, since it uses less digits than its factorization.

101111002000106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129350.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 101111002000106 its reverse (601000200111101), we get a palindrome (702111202111207).

The spelling of 101111002000106 in words is "one hundred one trillion, one hundred eleven billion, two million, one hundred six", and thus it is an aban number.