100211000000020 has 144 divisors (see below), whose sum is σ = 265401362797200. Its totient is φ = 31502275854336.

The previous prime is 100211000000017. The next prime is 100211000000039. The reversal of 100211000000020 is 20000000112001.

It can be written as a sum of positive squares in 8 ways, for example, as 1284622761744 + 98926377238276 = 1133412^2 + 9946174^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24497229 + ... + 28293748.

It is an arithmetic number, because the mean of its divisors is an integer number (1843065019425).

Almost surely, 2^{100211000000020} is an apocalyptic number.

100211000000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211000000020 is an abundant number, since it is smaller than the sum of its proper divisors (165190362797180).

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

100211000000020 is a wasteful number, since it uses less digits than its factorization.

100211000000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52791162 (or 52791153 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100211000000020 its reverse (20000000112001), we get a palindrome (120211000112021).

The spelling of 100211000000020 in words is "one hundred trillion, two hundred eleven billion, twenty", and thus it is an aban number.