102032102101 has 8 divisors (see below), whose sum is σ = 102646236600. Its totient is φ = 101418247872.

The previous prime is 102032102089. The next prime is 102032102111. The reversal of 102032102101 is 101201230201.

It can be written as a sum of positive squares in 4 ways, for example, as 26854687876 + 75177414225 = 163874^2 + 274185^2 .

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 102032102101 - 2¹⁷ = 102031971029 is a prime.

It is a super-2 number, since 2×102032102101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102032102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 684571 + ... + 820183.

It is an arithmetic number, because the mean of its divisors is an integer number (12830779575).

Almost surely, 2^102032102101 is an apocalyptic number.

It is an amenable number.

102032102101 is a deficient number, since it is larger than the sum of its proper divisors (614134499).

102032102101 is a wasteful number, since it uses less digits than its factorization.

102032102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140135.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102032102101 its reverse (101201230201), we get a palindrome (203233332302).

The spelling of 102032102101 in words is "one hundred two billion, thirty-two million, one hundred two thousand, one hundred one".