102101220012011 has 8 divisors (see below), whose sum is σ = 111423057109248. Its totient is φ = 92786034249000.

The previous prime is 102101220011957. The next prime is 102101220012019. The reversal of 102101220012011 is 110210022101201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102101220012011 - 2³⁸ = 101826342105067 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102101220012019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1662801455 + ... + 1662862856.

It is an arithmetic number, because the mean of its divisors is an integer number (13927882138656).

Almost surely, 2^{102101220012011} is an apocalyptic number.

102101220012011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102101220012011 is a deficient number, since it is larger than the sum of its proper divisors (9321837097237).

102101220012011 is a wasteful number, since it uses less digits than its factorization.

102101220012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325667113.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102101220012011 its reverse (110210022101201), we get a palindrome (212311242113212).

The spelling of 102101220012011 in words is "one hundred two trillion, one hundred one billion, two hundred twenty million, twelve thousand, eleven".