221101122000 has 480 divisors, whose sum is σ = 804797989632. Its totient is φ = 52145280000.

The previous prime is 221101121981. The next prime is 221101122017. The reversal of 221101122000 is 221101122.

It is a super-2 number, since 2×221101122000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26857885 + ... + 26866115.

Almost surely, 2^221101122000 is an apocalyptic number.

221101122000 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 221101122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402398994816).

221101122000 is an abundant number, since it is smaller than the sum of its proper divisors (583696867632).

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

221101122000 is a wasteful number, since it uses less digits than its factorization.

221101122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8316 (or 8289 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221101122000 its reverse (221101122), we get a palindrome (221322223122).

221101122000 divided by its reverse (221101122) gives a cube (1000 = 10³).

The spelling of 221101122000 in words is "two hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand".