101220112220220 has 288 divisors, whose sum is σ = 373814803514880. Its totient is φ = 21654263278080.

The previous prime is 101220112220219. The next prime is 101220112220237. The reversal of 101220112220220 is 22022211022101.

It is a happy number.

101220112220220 is a `hidden beast` number, since 1 + 0 + 1 + 220 + 1 + 1 + 2 + 220 + 220 = 666.

It is a super-2 number, since 2×101220112220220² (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 = 101220112220193 and 101220112220202.

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, 23483311 + ... + 27457350.

It is an arithmetic number, because the mean of its divisors is an integer number (1297968067760).

Almost surely, 2^{101220112220220} is an apocalyptic number.

101220112220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220112220220 is an abundant number, since it is smaller than the sum of its proper divisors (272594691294660).

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

101220112220220 is a wasteful number, since it uses less digits than its factorization.

101220112220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50940785 (or 50940780 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101220112220220 its reverse (22022211022101), we get a palindrome (123242323242321).

The spelling of 101220112220220 in words is "one hundred one trillion, two hundred twenty billion, one hundred twelve million, two hundred twenty thousand, two hundred twenty".