101012212220220 has 216 divisors, whose sum is σ = 357467967720864. Its totient is φ = 23088504958848.

The previous prime is 101012212220201. The next prime is 101012212220303. The reversal of 101012212220220 is 22022212210101.

It is a happy number.

101012212220220 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 221 + 2 + 220 + 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 = 101012212220193 and 101012212220202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13669539 + ... + 19720058.

It is an arithmetic number, because the mean of its divisors is an integer number (1654944295004).

Almost surely, 2^{101012212220220} is an apocalyptic number.

101012212220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012212220220 is an abundant number, since it is smaller than the sum of its proper divisors (256455755500644).

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

101012212220220 is an equidigital number, since it uses as much as digits as its factorization.

101012212220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33389647 (or 33389614 counting only the distinct ones).

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

Adding to 101012212220220 its reverse (22022212210101), we get a palindrome (123034424430321).

The spelling of 101012212220220 in words is "one hundred one trillion, twelve billion, two hundred twelve million, two hundred twenty thousand, two hundred twenty".