10021211011129 has 2 divisors, whose sum is σ = 10021211011130. Its totient is φ = 10021211011128.

The previous prime is 10021211011069. The next prime is 10021211011247. The reversal of 10021211011129 is 92111011212001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5573848810000 + 4447362201129 = 2360900^2 + 2108877^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021211011129 - 2⁹ = 10021211010617 is a prime.

It is a super-2 number, since 2×10021211011129² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10021211011729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010605505564 + 5010605505565.

It is an arithmetic number, because the mean of its divisors is an integer number (5010605505565).

Almost surely, 2^{10021211011129} is an apocalyptic number.

It is an amenable number.

10021211011129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021211011129 is an equidigital number, since it uses as much as digits as its factorization.

10021211011129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 10021211011129 in words is "ten trillion, twenty-one billion, two hundred eleven million, eleven thousand, one hundred twenty-nine".