1021014101 has 16 divisors (see below), whose sum is σ = 1103542704. Its totient is φ = 941051904.

The previous prime is 1021014073. The next prime is 1021014121. The reversal of 1021014101 is 1014101201.

It can be written as a sum of positive squares in 8 ways, for example, as 193071025 + 827943076 = 13895^2 + 28774^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021014101 - 2¹⁴ = 1020997717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021014121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930185 + ... + 931281.

It is an arithmetic number, because the mean of its divisors is an integer number (68971419).

Almost surely, 2^1021014101 is an apocalyptic number.

It is an amenable number.

1021014101 is a deficient number, since it is larger than the sum of its proper divisors (82528603).

1021014101 is a wasteful number, since it uses less digits than its factorization.

1021014101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1021014101 is about 31953.3112681612. The cubic root of 1021014101 is about 1006.9561994224.

Adding to 1021014101 its reverse (1014101201), we get a palindrome (2035115302).

The spelling of 1021014101 in words is "one billion, twenty-one million, fourteen thousand, one hundred one".