101012220021220 has 24 divisors (see below), whose sum is σ = 212164850460024. Its totient is φ = 40397423548416.

The previous prime is 101012220021173. The next prime is 101012220021221. The reversal of 101012220021220 is 22120022210101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25914778510336 + 75097441510884 = 5090656^2 + 8665878^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101012220021194 and 101012220021203.

It is not an unprimeable number, because it can be changed into a prime (101012220021221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466417789 + ... + 466634308.

It is an arithmetic number, because the mean of its divisors is an integer number (8840202102501).

Almost surely, 2^{101012220021220} is an apocalyptic number.

101012220021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012220021220 is an abundant number, since it is smaller than the sum of its proper divisors (111152630438804).

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

101012220021220 is a wasteful number, since it uses less digits than its factorization.

101012220021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933057519 (or 933057517 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101012220021220 its reverse (22120022210101), we get a palindrome (123132242231321).

The spelling of 101012220021220 in words is "one hundred one trillion, twelve billion, two hundred twenty million, twenty-one thousand, two hundred twenty".