102211120011 has 64 divisors (see below), whose sum is σ = 187924939776. Its totient is φ = 47687616000.

The previous prime is 102211120003. The next prime is 102211120021. The reversal of 102211120011 is 110021112201.

It is not a de Polignac number, because 102211120011 - 2³ = 102211120003 is a prime.

It is a super-3 number, since 3×102211120011³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (102211120021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348840 + ... + 571061.

It is an arithmetic number, because the mean of its divisors is an integer number (2936327184).

Almost surely, 2^102211120011 is an apocalyptic number.

102211120011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102211120011 is a deficient number, since it is larger than the sum of its proper divisors (85713819765).

102211120011 is a wasteful number, since it uses less digits than its factorization.

102211120011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919972.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102211120011 its reverse (110021112201), we get a palindrome (212232232212).

It can be divided in two parts, 102211 and 120011, that added together give a palindrome (222222).

The spelling of 102211120011 in words is "one hundred two billion, two hundred eleven million, one hundred twenty thousand, eleven".