10201221221112 has 96 divisors (see below), whose sum is σ = 29279416982400. Its totient is φ = 3197547988992.

The previous prime is 10201221221101. The next prime is 10201221221119. The reversal of 10201221221112 is 21112212210201.

10201221221112 is a `hidden beast` number, since 10 + 201 + 221 + 221 + 1 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201221221119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2309128 + ... + 5072919.

It is an arithmetic number, because the mean of its divisors is an integer number (304993926900).

Almost surely, 2^{10201221221112} is an apocalyptic number.

10201221221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10201221221112 is an abundant number, since it is smaller than the sum of its proper divisors (19078195761288).

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

10201221221112 is a wasteful number, since it uses less digits than its factorization.

10201221221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7383205 (or 7383198 counting only the distinct ones).

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

Adding to 10201221221112 its reverse (21112212210201), we get a palindrome (31313433431313).

The spelling of 10201221221112 in words is "ten trillion, two hundred one billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twelve".