102011002213129 has 2 divisors, whose sum is σ = 102011002213130. Its totient is φ = 102011002213128.

The previous prime is 102011002213093. The next prime is 102011002213297. The reversal of 102011002213129 is 921312200110201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91059687950400 + 10951314262729 = 9542520^2 + 3309277^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011002213129 - 2¹⁷ = 102011002082057 is a prime.

It is not a weakly prime, because it can be changed into another prime (102011002214129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005501106564 + 51005501106565.

It is an arithmetic number, because the mean of its divisors is an integer number (51005501106565).

Almost surely, 2^{102011002213129} is an apocalyptic number.

It is an amenable number.

102011002213129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011002213129 is an equidigital number, since it uses as much as digits as its factorization.

102011002213129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 102011002213129 in words is "one hundred two trillion, eleven billion, two million, two hundred thirteen thousand, one hundred twenty-nine".