102101220011 has 16 divisors (see below), whose sum is σ = 119743008000. Its totient is φ = 85235074848.

The previous prime is 102101219993. The next prime is 102101220041. The reversal of 102101220011 is 110022101201.

It is not a de Polignac number, because 102101220011 - 2¹⁴ = 102101203627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102101219974 and 102101220001.

It is not an unprimeable number, because it can be changed into a prime (102101220041) 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 in 15 ways as a sum of consecutive naturals, for example, 380921 + ... + 591018.

It is an arithmetic number, because the mean of its divisors is an integer number (7483938000).

Almost surely, 2^102101220011 is an apocalyptic number.

102101220011 is a deficient number, since it is larger than the sum of its proper divisors (17641787989).

102101220011 is an equidigital number, since it uses as much as digits as its factorization.

102101220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972338.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102101220011 its reverse (110022101201), we get a palindrome (212123321212).

The spelling of 102101220011 in words is "one hundred two billion, one hundred one million, two hundred twenty thousand, eleven".