100102220022020 has 72 divisors (see below), whose sum is σ = 219775069946880. Its totient is φ = 38295926130880.

The previous prime is 100102220022011. The next prime is 100102220022041. The reversal of 100102220022020 is 20220022201001.

It is a junction number, because it is equal to n+sod(n) for n = 100102220021986 and 100102220022004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100426685 + ... + 101418555.

It is an arithmetic number, because the mean of its divisors is an integer number (3052431527040).

Almost surely, 2^{100102220022020} is an apocalyptic number.

100102220022020 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 100102220022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109887534973440).

100102220022020 is an abundant number, since it is smaller than the sum of its proper divisors (119672849924860).

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

100102220022020 is a wasteful number, since it uses less digits than its factorization.

100102220022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001465 (or 1001440 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100102220022020 its reverse (20220022201001), we get a palindrome (120322242223021).

The spelling of 100102220022020 in words is "one hundred trillion, one hundred two billion, two hundred twenty million, twenty-two thousand, twenty".