102021110211020 has 192 divisors, whose sum is σ = 287811400891392. Its totient is φ = 29336943744000.

The previous prime is 102021110211017. The next prime is 102021110211029. The reversal of 102021110211020 is 20112011120201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102021110210986 and 102021110211004.

It is not an unprimeable number, because it can be changed into a prime (102021110211029) 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 63 ways as a sum of consecutive naturals, for example, 35888075 + ... + 38626365.

It is an arithmetic number, because the mean of its divisors is an integer number (1499017712976).

Almost surely, 2^{102021110211020} is an apocalyptic number.

102021110211020 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 102021110211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143905700445696).

102021110211020 is an abundant number, since it is smaller than the sum of its proper divisors (185790290680372).

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

102021110211020 is a wasteful number, since it uses less digits than its factorization.

102021110211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740192 (or 2740190 counting only the distinct ones).

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

Adding to 102021110211020 its reverse (20112011120201), we get a palindrome (122133121331221).

The spelling of 102021110211020 in words is "one hundred two trillion, twenty-one billion, one hundred ten million, two hundred eleven thousand, twenty".