101012021100020 has 96 divisors (see below), whose sum is σ = 221587900128000. Its totient is φ = 38631532262400.

The previous prime is 101012021099963. The next prime is 101012021100037. The reversal of 101012021100020 is 20001120210101.

It is a junction number, because it is equal to n+sod(n) for n = 101012021099974 and 101012021100010.

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 31 ways as a sum of consecutive naturals, for example, 22279760 + ... + 26427480.

It is an arithmetic number, because the mean of its divisors is an integer number (2308207293000).

Almost surely, 2^{101012021100020} is an apocalyptic number.

101012021100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012021100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110793950064000).

101012021100020 is an abundant number, since it is smaller than the sum of its proper divisors (120575879027980).

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

101012021100020 is a wasteful number, since it uses less digits than its factorization.

101012021100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148169 (or 4148167 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101012021100020 its reverse (20001120210101), we get a palindrome (121013141310121).

The spelling of 101012021100020 in words is "one hundred one trillion, twelve billion, twenty-one million, one hundred thousand, twenty".