100029121 has 2 divisors, whose sum is σ = 100029122. Its totient is φ = 100029120.

The previous prime is 100029109. The next prime is 100029133. The reversal of 100029121 is 121920001.

It is a balanced prime because it is at equal distance from previous prime (100029109) and next prime (100029133).

It can be written as a sum of positive squares in only one way, i.e., 61402896 + 38626225 = 7836^2 + 6215^2 .

It is a cyclic number.

It is not a de Polignac number, because 100029121 - 2⁷ = 100028993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100029095 and 100029104.

It is not a weakly prime, because it can be changed into another prime (100029101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50014560 + 50014561.

It is an arithmetic number, because the mean of its divisors is an integer number (50014561).

Almost surely, 2^100029121 is an apocalyptic number.

It is an amenable number.

100029121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100029121 is an equidigital number, since it uses as much as digits as its factorization.

100029121 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 100029121 is about 10001.4559440114. The cubic root of 100029121 is about 464.2039348912.

Adding to 100029121 its reverse (121920001), we get a palindrome (221949122).

The spelling of 100029121 in words is "one hundred million, twenty-nine thousand, one hundred twenty-one".