100211011100020 has 24 divisors (see below), whose sum is σ = 214413748280424. Its totient is φ = 39328094921856.

The previous prime is 100211011100017. The next prime is 100211011100087. The reversal of 100211011100020 is 20001110112001.

It can be written as a sum of positive squares in 4 ways, for example, as 38560970223504 + 61650040876516 = 6209748^2 + 7851754^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47269343799 + ... + 47269345918.

It is an arithmetic number, because the mean of its divisors is an integer number (8933906178351).

Almost surely, 2^{100211011100020} is an apocalyptic number.

100211011100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211011100020 is an abundant number, since it is smaller than the sum of its proper divisors (114202737180404).

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

100211011100020 is a wasteful number, since it uses less digits than its factorization.

100211011100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94538689779 (or 94538689777 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100211011100020 its reverse (20001110112001), we get a palindrome (120212121212021).

The spelling of 100211011100020 in words is "one hundred trillion, two hundred eleven billion, eleven million, one hundred thousand, twenty".