10002122120111 has 8 divisors (see below), whose sum is σ = 10911494014464. Its totient is φ = 9092764903320.

The previous prime is 10002122120093. The next prime is 10002122120131. The reversal of 10002122120111 is 11102122120001.

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 10002122120111 - 2⁶ = 10002122120047 is a prime.

It is a super-2 number, since 2×10002122120111² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002122120131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2219615 + ... + 4993088.

It is an arithmetic number, because the mean of its divisors is an integer number (1363936751808).

Almost surely, 2^{10002122120111} is an apocalyptic number.

10002122120111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10002122120111 is a deficient number, since it is larger than the sum of its proper divisors (909371894353).

10002122120111 is a wasteful number, since it uses less digits than its factorization.

10002122120111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7338781.

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

Adding to 10002122120111 its reverse (11102122120001), we get a palindrome (21104244240112).

The spelling of 10002122120111 in words is "ten trillion, two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred eleven".