102022020200100 has 5184 divisors, whose sum is σ = 449463884470272. Its totient is φ = 17601712128000.

The previous prime is 102022020200081. The next prime is 102022020200159. The reversal of 102022020200100 is 1002020220201.

It is a super-2 number, since 2×102022020200100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 1727 ways as a sum of consecutive naturals, for example, 953476824247 + ... + 953476824353.

It is an arithmetic number, because the mean of its divisors is an integer number (86702138208).

Almost surely, 2^{102022020200100} is an apocalyptic number.

102022020200100 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 102022020200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224731942235136).

102022020200100 is an abundant number, since it is smaller than the sum of its proper divisors (347441864270172).

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

102022020200100 is a wasteful number, since it uses less digits than its factorization.

102022020200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102022020200100 its reverse (1002020220201), we get a palindrome (103024040420301).

The spelling of 102022020200100 in words is "one hundred two trillion, twenty-two billion, twenty million, two hundred thousand, one hundred".