101012029 has 2 divisors, whose sum is σ = 101012030. Its totient is φ = 101012028.

The previous prime is 101011991. The next prime is 101012033. The reversal of 101012029 is 920210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63520900 + 37491129 = 7970^2 + 6123^2 .

It is an emirp because it is prime and its reverse (920210101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101012029 - 2¹⁵ = 100979261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506014 + 50506015.

It is an arithmetic number, because the mean of its divisors is an integer number (50506015).

Almost surely, 2^101012029 is an apocalyptic number.

It is an amenable number.

101012029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012029 is an equidigital number, since it uses as much as digits as its factorization.

101012029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 101012029 is about 10050.4740684209. The cubic root of 101012029 is about 465.7194382205.

The spelling of 101012029 in words is "one hundred one million, twelve thousand, twenty-nine".