101122220122000 has 240 divisors, whose sum is σ = 310291753449600. Its totient is φ = 31518613728000.

The previous prime is 101122220121983. The next prime is 101122220122037. The reversal of 101122220122000 is 221022221101.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45824700 + ... + 47980699.

It is an arithmetic number, because the mean of its divisors is an integer number (1292882306040).

Almost surely, 2^{101122220122000} is an apocalyptic number.

101122220122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122220122000 is an abundant number, since it is smaller than the sum of its proper divisors (209169533327600).

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

101122220122000 is a wasteful number, since it uses less digits than its factorization.

101122220122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93805447 (or 93805424 counting only the distinct ones).

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

Adding to 101122220122000 its reverse (221022221101), we get a palindrome (101343242343101).

The spelling of 101122220122000 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty million, one hundred twenty-two thousand".