100212111002121 has 16 divisors (see below), whose sum is σ = 134650661188608. Its totient is φ = 66292561952000.

The previous prime is 100212111002083. The next prime is 100212111002149. The reversal of 100212111002121 is 121200111212001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100212111002121 - 2¹⁴ = 100212110985737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100212111002121.

It is not an unprimeable number, because it can be changed into a prime (100212111002191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217837866 + ... + 218297411.

It is an arithmetic number, because the mean of its divisors is an integer number (8415666324288).

Almost surely, 2^{100212111002121} is an apocalyptic number.

It is an amenable number.

100212111002121 is a deficient number, since it is larger than the sum of its proper divisors (34438550186487).

100212111002121 is a wasteful number, since it uses less digits than its factorization.

100212111002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436135872.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100212111002121 its reverse (121200111212001), we get a palindrome (221412222214122).

The spelling of 100212111002121 in words is "one hundred trillion, two hundred twelve billion, one hundred eleven million, two thousand, one hundred twenty-one".