101122220021020 has 72 divisors (see below), whose sum is σ = 237243332579904. Its totient is φ = 36168901296000.

The previous prime is 101122220020961. The next prime is 101122220021021. The reversal of 101122220021020 is 20120022221101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101122220020985 and 101122220021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122220021021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342360916 + ... + 342656155.

It is an arithmetic number, because the mean of its divisors is an integer number (3295046285832).

Almost surely, 2^{101122220021020} is an apocalyptic number.

101122220021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122220021020 is an abundant number, since it is smaller than the sum of its proper divisors (136121112558884).

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

101122220021020 is a wasteful number, since it uses less digits than its factorization.

101122220021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685017163 (or 685017150 counting only the distinct ones).

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

Adding to 101122220021020 its reverse (20120022221101), we get a palindrome (121242242242121).

The spelling of 101122220021020 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty million, twenty-one thousand, twenty".