100212100220001 has 96 divisors (see below), whose sum is σ = 170285179091328. Its totient is φ = 51836287426560.

The previous prime is 100212100219991. The next prime is 100212100220021. The reversal of 100212100220001 is 100022001212001.

It is not a de Polignac number, because 100212100220001 - 2¹¹ = 100212100217953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100212100220021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 474129721 + ... + 474341033.

It is an arithmetic number, because the mean of its divisors is an integer number (1773803948868).

Almost surely, 2^{100212100220001} is an apocalyptic number.

100212100220001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212100220001 is a deficient number, since it is larger than the sum of its proper divisors (70073078871327).

100212100220001 is a wasteful number, since it uses less digits than its factorization.

100212100220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212591 (or 212584 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100212100220001 its reverse (100022001212001), we get a palindrome (200234101432002).

The spelling of 100212100220001 in words is "one hundred trillion, two hundred twelve billion, one hundred million, two hundred twenty thousand, one".