101222112101020 has 24 divisors (see below), whose sum is σ = 212653660149504. Its totient is φ = 40472230604736.

The previous prime is 101222112100979. The next prime is 101222112101029. The reversal of 101222112101020 is 20101211222101.

It is a junction number, because it is equal to n+sod(n) for n = 101222112100985 and 101222112101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222112101029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1038339772 + ... + 1038437251.

It is an arithmetic number, because the mean of its divisors is an integer number (8860569172896).

Almost surely, 2^{101222112101020} is an apocalyptic number.

101222112101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222112101020 is an abundant number, since it is smaller than the sum of its proper divisors (111431548048484).

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

101222112101020 is a wasteful number, since it uses less digits than its factorization.

101222112101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076779469 (or 2076779467 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101222112101020 its reverse (20101211222101), we get a palindrome (121323323323121).

The spelling of 101222112101020 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred twelve million, one hundred one thousand, twenty".