102101021 has 8 divisors (see below), whose sum is σ = 111504288. Its totient is φ = 92718000.

The previous prime is 102100991. The next prime is 102101033. The reversal of 102101021 is 120101201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102101021 - 2¹⁰ = 102099997 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 (102101921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6686 + ... + 15776.

It is an arithmetic number, because the mean of its divisors is an integer number (13938036).

Almost surely, 2^102101021 is an apocalyptic number.

102101021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101021 is a deficient number, since it is larger than the sum of its proper divisors (9403267).

102101021 is a wasteful number, since it uses less digits than its factorization.

102101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10123.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 102101021 is about 10104.5049854013. The cubic root of 102101021 is about 467.3870713917.

Adding to 102101021 its reverse (120101201), we get a palindrome (222202222).

The spelling of 102101021 in words is "one hundred two million, one hundred one thousand, twenty-one".