102101111111029 has 2 divisors, whose sum is σ = 102101111111030. Its totient is φ = 102101111111028.

The previous prime is 102101111111023. The next prime is 102101111111137. The reversal of 102101111111029 is 920111111101201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94842316644804 + 7258794466225 = 9738702^2 + 2694215^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101111111029 - 2²¹ = 102101109013877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102101111111023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050555555514 + 51050555555515.

It is an arithmetic number, because the mean of its divisors is an integer number (51050555555515).

Almost surely, 2^{102101111111029} is an apocalyptic number.

It is an amenable number.

102101111111029 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101111111029 is an equidigital number, since it uses as much as digits as its factorization.

102101111111029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 22.

The spelling of 102101111111029 in words is "one hundred two trillion, one hundred one billion, one hundred eleven million, one hundred eleven thousand, twenty-nine".