10112121212220 has 144 divisors (see below), whose sum is σ = 31845771685728. Its totient is φ = 2693489760000.

The previous prime is 10112121212203. The next prime is 10112121212239. The reversal of 10112121212220 is 2221212121101.

10112121212220 is a `hidden beast` number, since 1 + 0 + 112 + 121 + 212 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10112121212193 and 10112121212202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3075970 + ... + 5448470.

It is an arithmetic number, because the mean of its divisors is an integer number (221151192262).

Almost surely, 2^{10112121212220} is an apocalyptic number.

10112121212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112121212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15922885842864).

10112121212220 is an abundant number, since it is smaller than the sum of its proper divisors (21733650473508).

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

10112121212220 is a wasteful number, since it uses less digits than its factorization.

10112121212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373402 (or 2373388 counting only the distinct ones).

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

Adding to 10112121212220 its reverse (2221212121101), we get a palindrome (12333333333321).

The spelling of 10112121212220 in words is "ten trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, two hundred twenty".