10211211011112 has 64 divisors (see below), whose sum is σ = 26221203073920. Its totient is φ = 3311336256768.

The previous prime is 10211211011087. The next prime is 10211211011117. The reversal of 10211211011112 is 21111011211201.

It is a super-3 number, since 3×10211211011112³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10211211011091 and 10211211011100.

It is not an unprimeable number, because it can be changed into a prime (10211211011117) 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, 6548298 + ... + 7956294.

It is an arithmetic number, because the mean of its divisors is an integer number (409706298030).

Almost surely, 2^{10211211011112} is an apocalyptic number.

10211211011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211211011112 is an abundant number, since it is smaller than the sum of its proper divisors (16009992062808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10211211011112 is a wasteful number, since it uses less digits than its factorization.

10211211011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416210 (or 1416206 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10211211011112 its reverse (21111011211201), we get a palindrome (31322222222313).

The spelling of 10211211011112 in words is "ten trillion, two hundred eleven billion, two hundred eleven million, eleven thousand, one hundred twelve".