10002120111011 has 16 divisors (see below), whose sum is σ = 11731656964608. Its totient is φ = 8350658534400.

The previous prime is 10002120110999. The next prime is 10002120111047. The reversal of 10002120111011 is 11011102120001.

It is not a de Polignac number, because 10002120111011 - 2¹⁴ = 10002120094627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002120110983 and 10002120111001.

It is not an unprimeable number, because it can be changed into a prime (10002120111811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121193630 + ... + 121276131.

It is an arithmetic number, because the mean of its divisors is an integer number (733228560288).

Almost surely, 2^{10002120111011} is an apocalyptic number.

10002120111011 is a deficient number, since it is larger than the sum of its proper divisors (1729536853597).

10002120111011 is an equidigital number, since it uses as much as digits as its factorization.

10002120111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242469922.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10002120111011 its reverse (11011102120001), we get a palindrome (21013222231012).

The spelling of 10002120111011 in words is "ten trillion, two billion, one hundred twenty million, one hundred eleven thousand, eleven".