101122121220 has 48 divisors (see below), whose sum is σ = 284579241408. Its totient is φ = 26829013120.

The previous prime is 101122121209. The next prime is 101122121249. The reversal of 101122121220 is 22121221101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101122121220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4265766 + ... + 4289405.

It is an arithmetic number, because the mean of its divisors is an integer number (5928734196).

Almost surely, 2^101122121220 is an apocalyptic number.

101122121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122121220 is an abundant number, since it is smaller than the sum of its proper divisors (183457120188).

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

101122121220 is a wasteful number, since it uses less digits than its factorization.

101122121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8555380 (or 8555378 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101122121220 its reverse (22121221101), we get a palindrome (123243342321).

The spelling of 101122121220 in words is "one hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".