10122111100211 has 8 divisors (see below), whose sum is σ = 11044067885424. Its totient is φ = 9200448459520.

The previous prime is 10122111100193. The next prime is 10122111100217. The reversal of 10122111100211 is 11200111122101.

10122111100211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10122111100211 - 2¹⁴ = 10122111083827 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122111100217) 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, 73464170 + ... + 73601823.

It is an arithmetic number, because the mean of its divisors is an integer number (1380508485678).

Almost surely, 2^{10122111100211} is an apocalyptic number.

10122111100211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10122111100211 is a deficient number, since it is larger than the sum of its proper divisors (921956785213).

10122111100211 is a wasteful number, since it uses less digits than its factorization.

10122111100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147072261.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10122111100211 its reverse (11200111122101), we get a palindrome (21322222222312).

The spelling of 10122111100211 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, one hundred thousand, two hundred eleven".