1021010000107 has 16 divisors (see below), whose sum is σ = 1119400309440. Its totient is φ = 926941059072.

The previous prime is 1021010000077. The next prime is 1021010000111. The reversal of 1021010000107 is 7010000101201.

It is a cyclic number.

It is not a de Polignac number, because 1021010000107 - 2¹⁵ = 1021009967339 is a prime.

It is a super-2 number, since 2×1021010000107² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1021010000147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450078 + ... + 1498195.

It is an arithmetic number, because the mean of its divisors is an integer number (69962519340).

Almost surely, 2^{1021010000107} is an apocalyptic number.

1021010000107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1021010000107 is a deficient number, since it is larger than the sum of its proper divisors (98390309333).

1021010000107 is a wasteful number, since it uses less digits than its factorization.

1021010000107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949382.

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 1021010000107 its reverse (7010000101201), we get a palindrome (8031010101308).

The spelling of 1021010000107 in words is "one trillion, twenty-one billion, ten million, one hundred seven", and thus it is an aban number.