1010100002101 has 2 divisors, whose sum is σ = 1010100002102. Its totient is φ = 1010100002100.

The previous prime is 1010100002029. The next prime is 1010100002113. The reversal of 1010100002101 is 1012000010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 664226630001 + 345873372100 = 815001^2 + 588110^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010100002101 - 2⁷ = 1010100001973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010100002201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050001050 + 505050001051.

It is an arithmetic number, because the mean of its divisors is an integer number (505050001051).

Almost surely, 2^{1010100002101} is an apocalyptic number.

It is an amenable number.

1010100002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100002101 is an equidigital number, since it uses as much as digits as its factorization.

1010100002101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1010100002101 its reverse (1012000010101), we get a palindrome (2022100012202).

The spelling of 1010100002101 in words is "one trillion, ten billion, one hundred million, two thousand, one hundred one".