101222010221220 has 288 divisors, whose sum is σ = 366217056092160. Its totient is φ = 22127055033600.

The previous prime is 101222010221219. The next prime is 101222010221237. The reversal of 101222010221220 is 22122010222101.

It is a happy number.

101222010221220 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 220 + 1 + 0 + 221 + 220 = 666.

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 = 101222010221193 and 101222010221202.

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, 186679261 + ... + 187220699.

It is an arithmetic number, because the mean of its divisors is an integer number (1271587000320).

Almost surely, 2^{101222010221220} is an apocalyptic number.

101222010221220 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 101222010221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183108528046080).

101222010221220 is an abundant number, since it is smaller than the sum of its proper divisors (264995045870940).

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

101222010221220 is a wasteful number, since it uses less digits than its factorization.

101222010221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547935 (or 547930 counting only the distinct ones).

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

Adding to 101222010221220 its reverse (22122010222101), we get a palindrome (123344020443321).

The spelling of 101222010221220 in words is "one hundred one trillion, two hundred twenty-two billion, ten million, two hundred twenty-one thousand, two hundred twenty".