101112121220220 has 288 divisors, whose sum is σ = 342391161176064. Its totient is φ = 23940526579200.

The previous prime is 101112121220197. The next prime is 101112121220261. The reversal of 101112121220220 is 22022121211101.

101112121220220 is a `hidden beast` number, since 1 + 0 + 1 + 11 + 212 + 1 + 220 + 220 = 666.

It is a super-2 number, since 2×101112121220220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101112121220193 and 101112121220202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2157679590 + ... + 2157726450.

It is an arithmetic number, because the mean of its divisors is an integer number (1188858198528).

Almost surely, 2^{101112121220220} is an apocalyptic number.

101112121220220 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 101112121220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171195580588032).

101112121220220 is an abundant number, since it is smaller than the sum of its proper divisors (241279039955844).

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

101112121220220 is a wasteful number, since it uses less digits than its factorization.

101112121220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72273 (or 72268 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101112121220220 its reverse (22022121211101), we get a palindrome (123134242431321).

The spelling of 101112121220220 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twenty thousand, two hundred twenty".