101025629 has 2 divisors, whose sum is σ = 101025630. Its totient is φ = 101025628.

The previous prime is 101025601. The next prime is 101025653. The reversal of 101025629 is 926520101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81902500 + 19123129 = 9050^2 + 4373^2 .

It is a cyclic number.

It is not a de Polignac number, because 101025629 - 2¹² = 101021533 is a prime.

It is equal to p_5817050 and since 101025629 and 5817050 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 101025598 and 101025607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101025229) 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 as a sum of consecutive naturals, namely, 50512814 + 50512815.

It is an arithmetic number, because the mean of its divisors is an integer number (50512815).

Almost surely, 2^101025629 is an apocalyptic number.

It is an amenable number.

101025629 is a deficient number, since it is larger than the sum of its proper divisors (1).

101025629 is an equidigital number, since it uses as much as digits as its factorization.

101025629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 101025629 is about 10051.1506306492. The cubic root of 101025629 is about 465.7403383720.

The spelling of 101025629 in words is "one hundred one million, twenty-five thousand, six hundred twenty-nine".