221110121012000 has 576 divisors, whose sum is σ = 603587365984512. Its totient is φ = 79537987584000.

The previous prime is 221110121011993. The next prime is 221110121012107. The reversal of 221110121012000 is 210121011122.

It is a super-2 number, since 2×221110121012000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63960114272 + ... + 63960117728.

It is an arithmetic number, because the mean of its divisors is an integer number (1047894732612).

Almost surely, 2^{221110121012000} is an apocalyptic number.

221110121012000 is a gapful number since it is divisible by the number (20) 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 221110121012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301793682992256).

221110121012000 is an abundant number, since it is smaller than the sum of its proper divisors (382477244972512).

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

221110121012000 is a wasteful number, since it uses less digits than its factorization.

221110121012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890 (or 4861 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221110121012000 its reverse (210121011122), we get a palindrome (221320242023122).

The spelling of 221110121012000 in words is "two hundred twenty-one trillion, one hundred ten billion, one hundred twenty-one million, twelve thousand".