102010101101 has 32 divisors (see below), whose sum is σ = 110215461888. Its totient is φ = 94184006400.

The previous prime is 102010101073. The next prime is 102010101121. The reversal of 102010101101 is 101101010201.

It is a happy number.

It is not a de Polignac number, because 102010101101 - 2²⁶ = 101942992237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30241451 + ... + 30244823.

It is an arithmetic number, because the mean of its divisors is an integer number (3444233184).

Almost surely, 2^102010101101 is an apocalyptic number.

It is an amenable number.

102010101101 is a deficient number, since it is larger than the sum of its proper divisors (8205360787).

102010101101 is a wasteful number, since it uses less digits than its factorization.

102010101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 102010101101 its reverse (101101010201), we get a palindrome (203111111302).

The spelling of 102010101101 in words is "one hundred two billion, ten million, one hundred one thousand, one hundred one".