1000102101 has 16 divisors (see below), whose sum is σ = 1354527360. Its totient is φ = 656283200.

The previous prime is 1000102063. The next prime is 1000102121. The reversal of 1000102101 is 1012010001.

It is a cyclic number.

It is not a de Polignac number, because 1000102101 - 2¹³ = 1000093909 is a prime.

It is a super-2 number, since 2×1000102101² = 2000408424849228402, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1000102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000102121) 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, 42880 + ... + 61958.

It is an arithmetic number, because the mean of its divisors is an integer number (84657960).

Almost surely, 2^1000102101 is an apocalyptic number.

It is an amenable number.

1000102101 is a deficient number, since it is larger than the sum of its proper divisors (354425259).

1000102101 is a wasteful number, since it uses less digits than its factorization.

1000102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19356.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1000102101 is about 31624.3909190359. The cubic root of 1000102101 is about 1000.0340325084.

Adding to 1000102101 its reverse (1012010001), we get a palindrome (2012112102).

The spelling of 1000102101 in words is "one billion, one hundred two thousand, one hundred one".