101102012121020 has 24 divisors (see below), whose sum is σ = 215912771650800. Its totient is φ = 39755367477632.

The previous prime is 101102012121001. The next prime is 101102012121043. The reversal of 101102012121020 is 20121210201101.

It is a junction number, because it is equal to n+sod(n) for n = 101102012120986 and 101102012121004.

It is a congruent number.

It is an unprimeable number.

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, 42839834465 + ... + 42839836824.

It is an arithmetic number, because the mean of its divisors is an integer number (8996365485450).

Almost surely, 2^{101102012121020} is an apocalyptic number.

101102012121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102012121020 is an abundant number, since it is smaller than the sum of its proper divisors (114810759529780).

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

101102012121020 is a wasteful number, since it uses less digits than its factorization.

101102012121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85679671357 (or 85679671355 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101102012121020 its reverse (20121210201101), we get a palindrome (121223222322121).

The spelling of 101102012121020 in words is "one hundred one trillion, one hundred two billion, twelve million, one hundred twenty-one thousand, twenty".