101122100001220 has 12 divisors (see below), whose sum is σ = 212356410002604. Its totient is φ = 40448840000480.

The previous prime is 101122100001199. The next prime is 101122100001233. The reversal of 101122100001220 is 22100001221101.

It can be written as a sum of positive squares in 2 ways, for example, as 60527030727744 + 40595069273476 = 7779912^2 + 6371426^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101122100001220.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2528052500011 + ... + 2528052500050.

It is an arithmetic number, because the mean of its divisors is an integer number (17696367500217).

Almost surely, 2^{101122100001220} is an apocalyptic number.

101122100001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122100001220 is an abundant number, since it is smaller than the sum of its proper divisors (111234310001384).

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

101122100001220 is a wasteful number, since it uses less digits than its factorization.

101122100001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056105000070 (or 5056105000068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101122100001220 its reverse (22100001221101), we get a palindrome (123222101222321).

The spelling of 101122100001220 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred million, one thousand, two hundred twenty".