101021212129 has 2 divisors, whose sum is σ = 101021212130. Its totient is φ = 101021212128.

The previous prime is 101021212079. The next prime is 101021212141. The reversal of 101021212129 is 921212120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101006374225 + 14837904 = 317815^2 + 3852^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021212129 - 2²³ = 101012823521 is a prime.

It is not a weakly prime, because it can be changed into another prime (101021212429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510606064 + 50510606065.

It is an arithmetic number, because the mean of its divisors is an integer number (50510606065).

Almost surely, 2^101021212129 is an apocalyptic number.

It is an amenable number.

101021212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021212129 is an equidigital number, since it uses as much as digits as its factorization.

101021212129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 101021212129 in words is "one hundred one billion, twenty-one million, two hundred twelve thousand, one hundred twenty-nine".