101112121120220 has 144 divisors (see below), whose sum is σ = 254397354644160. Its totient is φ = 33065806000128.

The previous prime is 101112121120141. The next prime is 101112121120237. The reversal of 101112121120220 is 22021121211101.

It is a super-2 number, since 2×101112121120220² (a number of 29 digits) contains 22 as substring.

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, 24209366 + ... + 28076994.

It is an arithmetic number, because the mean of its divisors is an integer number (1766648296140).

Almost surely, 2^{101112121120220} is an apocalyptic number.

101112121120220 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 101112121120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127198677322080).

101112121120220 is an abundant number, since it is smaller than the sum of its proper divisors (153285233523940).

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

101112121120220 is a wasteful number, since it uses less digits than its factorization.

101112121120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868044 (or 3868019 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101112121120220 its reverse (22021121211101), we get a palindrome (123133242331321).

The spelling of 101112121120220 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty thousand, two hundred twenty".