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1020121101101 is a prime number
BaseRepresentation
bin11101101100000111111…
…01001011001100101101
310121112002222211021012202
432312003331023030231
5113203202000213401
62100345343311245
7133462360201244
oct16660375131455
93545088737182
101020121101101
113636a3848a73
121458585ab525
1375273a9461b
143753485395b
151b807e5406b
hexed83f4b32d

1020121101101 has 2 divisors, whose sum is σ = 1020121101102. Its totient is φ = 1020121101100.

The previous prime is 1020121101059. The next prime is 1020121101199. The reversal of 1020121101101 is 1011011210201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 734233051876 + 285888049225 = 856874^2 + 534685^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1020121101101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020121121101) 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, 510060550550 + 510060550551.

It is an arithmetic number, because the mean of its divisors is an integer number (510060550551).

Almost surely, 21020121101101 is an apocalyptic number.

It is an amenable number.

1020121101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020121101101 is an equidigital number, since it uses as much as digits as its factorization.

1020121101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1020121101101 its reverse (1011011210201), we get a palindrome (2031132311302).

The spelling of 1020121101101 in words is "one trillion, twenty billion, one hundred twenty-one million, one hundred one thousand, one hundred one".