101021220212220 has 288 divisors, whose sum is σ = 383108095319040. Its totient is φ = 20932949422080.

The previous prime is 101021220212203. The next prime is 101021220212233. The reversal of 101021220212220 is 22212022120101.

It is a happy number.

101021220212220 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 212 + 20 + 212 + 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 = 101021220212193 and 101021220212202.

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, 5175637 + ... + 15127116.

It is an arithmetic number, because the mean of its divisors is an integer number (1330236442080).

Almost surely, 2^{101021220212220} is an apocalyptic number.

101021220212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021220212220 is an abundant number, since it is smaller than the sum of its proper divisors (282086875106820).

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

101021220212220 is a wasteful number, since it uses less digits than its factorization.

101021220212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20303145 (or 20303140 counting only the distinct ones).

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

Adding to 101021220212220 its reverse (22212022120101), we get a palindrome (123233242332321).

The spelling of 101021220212220 in words is "one hundred one trillion, twenty-one billion, two hundred twenty million, two hundred twelve thousand, two hundred twenty".