10020212221120 has 112 divisors (see below), whose sum is σ = 23956328658240. Its totient is φ = 3992015978496.

The previous prime is 10020212221079. The next prime is 10020212221139. The reversal of 10020212221120 is 2112221202001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10020212221094 and 10020212221103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551491396 + ... + 551509564.

Almost surely, 2^{10020212221120} is an apocalyptic number.

10020212221120 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 10020212221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11978164329120).

10020212221120 is an abundant number, since it is smaller than the sum of its proper divisors (13936116437120).

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

10020212221120 is a wasteful number, since it uses less digits than its factorization.

10020212221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25002 (or 24992 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10020212221120 its reverse (2112221202001), we get a palindrome (12132433423121).

The spelling of 10020212221120 in words is "ten trillion, twenty billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty".