101022002112020 has 192 divisors, whose sum is σ = 247311138816000. Its totient is φ = 34277274339840.

The previous prime is 101022002111851. The next prime is 101022002112029. The reversal of 101022002112020 is 20211200220101.

It is a junction number, because it is equal to n+sod(n) for n = 101022002111986 and 101022002112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022002112029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76723181 + ... + 78028779.

It is an arithmetic number, because the mean of its divisors is an integer number (1288078848000).

Almost surely, 2^{101022002112020} is an apocalyptic number.

101022002112020 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 101022002112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123655569408000).

101022002112020 is an abundant number, since it is smaller than the sum of its proper divisors (146289136703980).

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

101022002112020 is a wasteful number, since it uses less digits than its factorization.

101022002112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305918 (or 1305916 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101022002112020 its reverse (20211200220101), we get a palindrome (121233202332121).

The spelling of 101022002112020 in words is "one hundred one trillion, twenty-two billion, two million, one hundred twelve thousand, twenty".