101111012112220 has 96 divisors (see below), whose sum is σ = 232441139609280. Its totient is φ = 36639878184960.

The previous prime is 101111012112169. The next prime is 101111012112221. The reversal of 101111012112220 is 22211210111101.

It is a junction number, because it is equal to n+sod(n) for n = 101111012112194 and 101111012112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111012112221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1311915846 + ... + 1311992914.

It is an arithmetic number, because the mean of its divisors is an integer number (2421261870930).

Almost surely, 2^{101111012112220} is an apocalyptic number.

101111012112220 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 101111012112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116220569804640).

101111012112220 is an abundant number, since it is smaller than the sum of its proper divisors (131330127497060).

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

101111012112220 is a wasteful number, since it uses less digits than its factorization.

101111012112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97735 (or 97733 counting only the distinct ones).

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

Adding to 101111012112220 its reverse (22211210111101), we get a palindrome (123322222223321).

The spelling of 101111012112220 in words is "one hundred one trillion, one hundred eleven billion, twelve million, one hundred twelve thousand, two hundred twenty".