101122212210100 has 144 divisors (see below), whose sum is σ = 224123551018416. Its totient is φ = 39593207808000.

The previous prime is 101122212210079. The next prime is 101122212210121. The reversal of 101122212210100 is 1012212221101.

It is an interprime number because it is at equal distance from previous prime (101122212210079) and next prime (101122212210121).

It can be written as a sum of positive squares in 24 ways, for example, as 91868314361616 + 9253897848484 = 9584796^2 + 3042022^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4621451160 + ... + 4621473040.

It is an arithmetic number, because the mean of its divisors is an integer number (1556413548739).

Almost surely, 2^{101122212210100} is an apocalyptic number.

101122212210100 is a gapful number since it is divisible by the number (10) 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 101122212210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112061775509208).

101122212210100 is an abundant number, since it is smaller than the sum of its proper divisors (123001338808316).

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

101122212210100 is a wasteful number, since it uses less digits than its factorization.

101122212210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26726 (or 26719 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101122212210100 its reverse (1012212221101), we get a palindrome (102134424431201).

It can be divided in two parts, 10112221 and 2210100, that added together give a palindrome (12322321).

The spelling of 101122212210100 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twelve million, two hundred ten thousand, one hundred".