1006126101 has 24 divisors (see below), whose sum is σ = 1492370880. Its totient is φ = 652795200.

The previous prime is 1006126081. The next prime is 1006126103. The reversal of 1006126101 is 1016216001.

1006126101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1006126101 - 2⁷ = 1006125973 is a prime.

It is a super-2 number, since 2×1006126101² = 2024579462226924402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006126103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158886 + ... + 165096.

It is an arithmetic number, because the mean of its divisors is an integer number (62182120).

Almost surely, 2^1006126101 is an apocalyptic number.

It is an amenable number.

1006126101 is a deficient number, since it is larger than the sum of its proper divisors (486244779).

1006126101 is a wasteful number, since it uses less digits than its factorization.

1006126101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697 (or 6694 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1006126101 is about 31719.4908691801. The cubic root of 1006126101 is about 1002.0378778993.

The spelling of 1006126101 in words is "one billion, six million, one hundred twenty-six thousand, one hundred one".