102101212021 has 16 divisors (see below), whose sum is σ = 107753036400. Its totient is φ = 96603494400.

The previous prime is 102101212007. The next prime is 102101212049. The reversal of 102101212021 is 120212101201.

It can be written as a sum of positive squares in 8 ways, for example, as 53485812900 + 48615399121 = 231270^2 + 220489^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102101212021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102101211992 and 102101212010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101212061) 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, 368581 + ... + 583141.

It is an arithmetic number, because the mean of its divisors is an integer number (6734564775).

Almost surely, 2^102101212021 is an apocalyptic number.

It is an amenable number.

102101212021 is a deficient number, since it is larger than the sum of its proper divisors (5651824379).

102101212021 is a wasteful number, since it uses less digits than its factorization.

102101212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214920.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102101212021 its reverse (120212101201), we get a palindrome (222313313222).

The spelling of 102101212021 in words is "one hundred two billion, one hundred one million, two hundred twelve thousand, twenty-one".