100212002020 has 48 divisors (see below), whose sum is σ = 226874693808. Its totient is φ = 36961943040.

The previous prime is 100212001997. The next prime is 100212002047. The reversal of 100212002020 is 20200212001.

It can be written as a sum of positive squares in 8 ways, for example, as 30460022784 + 69751979236 = 174528^2 + 264106^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100212001988 and 100212002006.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39862 + ... + 449458.

It is an arithmetic number, because the mean of its divisors is an integer number (4726556121).

Almost surely, 2^100212002020 is an apocalyptic number.

100212002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212002020 is an abundant number, since it is smaller than the sum of its proper divisors (126662691788).

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

100212002020 is a wasteful number, since it uses less digits than its factorization.

100212002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410560 (or 410558 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100212002020 its reverse (20200212001), we get a palindrome (120412214021).

The spelling of 100212002020 in words is "one hundred billion, two hundred twelve million, two thousand, twenty".