101122221000 has 128 divisors (see below), whose sum is σ = 324028748160. Its totient is φ = 26237088000.

The previous prime is 101122220987. The next prime is 101122221007. The reversal of 101122221000 is 122221101.

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

It is not an unprimeable number, because it can be changed into a prime (101122221007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 344506 + ... + 566505.

It is an arithmetic number, because the mean of its divisors is an integer number (2531474595).

Almost surely, 2^101122221000 is an apocalyptic number.

101122221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122221000 is an abundant number, since it is smaller than the sum of its proper divisors (222906527160).

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

101122221000 is a wasteful number, since it uses less digits than its factorization.

101122221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911072 (or 911058 counting only the distinct ones).

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

Adding to 101122221000 its reverse (122221101), we get a palindrome (101244442101).

The spelling of 101122221000 in words is "one hundred one billion, one hundred twenty-two million, two hundred twenty-one thousand".