102102221021929 has 2 divisors, whose sum is σ = 102102221021930. Its totient is φ = 102102221021928.

The previous prime is 102102221021903. The next prime is 102102221021951. The reversal of 102102221021929 is 929120122201201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69503568134400 + 32598652887529 = 8336880^2 + 5709523^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102221021929 - 2¹⁵ = 102102220989161 is a prime.

It is a super-2 number, since 2×102102221021929² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102102221021894 and 102102221021903.

It is not a weakly prime, because it can be changed into another prime (102102221021959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051110510964 + 51051110510965.

It is an arithmetic number, because the mean of its divisors is an integer number (51051110510965).

Almost surely, 2^{102102221021929} is an apocalyptic number.

It is an amenable number.

102102221021929 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102221021929 is an equidigital number, since it uses as much as digits as its factorization.

102102221021929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 102102221021929 in words is "one hundred two trillion, one hundred two billion, two hundred twenty-one million, twenty-one thousand, nine hundred twenty-nine".