10211122220112 has 160 divisors (see below), whose sum is σ = 32267564208000. Its totient is φ = 3065891420160.

The previous prime is 10211122220107. The next prime is 10211122220153. The reversal of 10211122220112 is 21102222111201.

10211122220112 is a `hidden beast` number, since 1 + 0 + 211 + 122 + 220 + 112 = 666.

It is a super-3 number, since 3×10211122220112³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9338937 + ... + 10374872.

It is an arithmetic number, because the mean of its divisors is an integer number (201672276300).

Almost surely, 2^{10211122220112} is an apocalyptic number.

10211122220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211122220112 is an abundant number, since it is smaller than the sum of its proper divisors (22056441987888).

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

10211122220112 is a wasteful number, since it uses less digits than its factorization.

10211122220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19713946 (or 19713934 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10211122220112 its reverse (21102222111201), we get a palindrome (31313344331313).

The spelling of 10211122220112 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twelve".