101011221221220 has 36 divisors (see below), whose sum is σ = 306400704371580. Its totient is φ = 26936325658944.

The previous prime is 101011221221213. The next prime is 101011221221231. The reversal of 101011221221220 is 22122122110101.

101011221221220 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 1 + 221 + 221 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10786337473536 + 90224883747684 = 3284256^2 + 9498678^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×101011221221220³ (a number of 43 digits) contains 333 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 = 101011221221193 and 101011221221202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280586725435 + ... + 280586725794.

Almost surely, 2^{101011221221220} is an apocalyptic number.

101011221221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011221221220 is an abundant number, since it is smaller than the sum of its proper divisors (205389483150360).

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

101011221221220 is a wasteful number, since it uses less digits than its factorization.

101011221221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561173451244 (or 561173451239 counting only the distinct ones).

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

Adding to 101011221221220 its reverse (22122122110101), we get a palindrome (123133343331321).

The spelling of 101011221221220 in words is "one hundred one trillion, eleven billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty".