102100012011077 has 2 divisors, whose sum is σ = 102100012011078. Its totient is φ = 102100012011076.

The previous prime is 102100012010981. The next prime is 102100012011103. The reversal of 102100012011077 is 770110210001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61918029177601 + 40181982833476 = 7868801^2 + 6338926^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100012011077 - 2¹⁰ = 102100012010053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100012011677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050006005538 + 51050006005539.

It is an arithmetic number, because the mean of its divisors is an integer number (51050006005539).

Almost surely, 2^{102100012011077} is an apocalyptic number.

It is an amenable number.

102100012011077 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100012011077 is an equidigital number, since it uses as much as digits as its factorization.

102100012011077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 196, while the sum is 23.

Adding to 102100012011077 its reverse (770110210001201), we get a palindrome (872210222012278).

The spelling of 102100012011077 in words is "one hundred two trillion, one hundred billion, twelve million, eleven thousand, seventy-seven".