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1012011101977 is a prime number
BaseRepresentation
bin11101011101000001000…
…11111110111100011001
310120202011210102121212211
432232200203332330121
5113040044320230402
62052524514035121
7133054402302031
oct16564043767431
93522153377784
101012011101977
1136021197a657
12144174578aa1
1374580819685
1436da57148c1
151b4d0e7b4d7
hexeba08fef19

1012011101977 has 2 divisors, whose sum is σ = 1012011101978. Its totient is φ = 1012011101976.

The previous prime is 1012011101879. The next prime is 1012011102023. The reversal of 1012011101977 is 7791011102101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 992581808656 + 19429293321 = 996284^2 + 139389^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1012011101977 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012011101177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506005550988 + 506005550989.

It is an arithmetic number, because the mean of its divisors is an integer number (506005550989).

Almost surely, 21012011101977 is an apocalyptic number.

It is an amenable number.

1012011101977 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012011101977 is an equidigital number, since it uses as much as digits as its factorization.

1012011101977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 31.

The spelling of 1012011101977 in words is "one trillion, twelve billion, eleven million, one hundred one thousand, nine hundred seventy-seven".