10201222121112 has 144 divisors (see below), whose sum is σ = 30976587696600. Its totient is φ = 3007731018240.

The previous prime is 10201222121059. The next prime is 10201222121203. The reversal of 10201222121112 is 21112122210201.

10201222121112 is a `hidden beast` number, since 10 + 201 + 222 + 121 + 112 = 666.

It is a super-2 number, since 2×10201222121112² (a number of 27 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3620037 + ... + 5788532.

Almost surely, 2^{10201222121112} is an apocalyptic number.

10201222121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10201222121112 is an abundant number, since it is smaller than the sum of its proper divisors (20775365575488).

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

10201222121112 is a wasteful number, since it uses less digits than its factorization.

10201222121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9408666 (or 9408622 counting only the distinct ones).

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

Adding to 10201222121112 its reverse (21112122210201), we get a palindrome (31313344331313).

The spelling of 10201222121112 in words is "ten trillion, two hundred one billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twelve".