1001100920101 has 2 divisors, whose sum is σ = 1001100920102. Its totient is φ = 1001100920100.

The previous prime is 1001100920087. The next prime is 1001100920117. The reversal of 1001100920101 is 1010290011001.

It is an a-pointer prime, because the next prime (1001100920117) can be obtained adding 1001100920101 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 694345559076 + 306755361025 = 833274^2 + 553855^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001100920101 - 2⁵ = 1001100920069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001100930101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550460050 + 500550460051.

It is an arithmetic number, because the mean of its divisors is an integer number (500550460051).

Almost surely, 2^{1001100920101} is an apocalyptic number.

It is an amenable number.

1001100920101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100920101 is an equidigital number, since it uses as much as digits as its factorization.

1001100920101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 1001100920101 its reverse (1010290011001), we get a palindrome (2011390931102).

The spelling of 1001100920101 in words is "one trillion, one billion, one hundred million, nine hundred twenty thousand, one hundred one".