100212112101021 has 16 divisors (see below), whose sum is σ = 138242080416960. Its totient is φ = 64495725176960.

The previous prime is 100212112101019. The next prime is 100212112101091. The reversal of 100212112101021 is 120101211212001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100212112101021 - 2¹ = 100212112101019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212112101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76335075 + ... + 77636768.

It is an arithmetic number, because the mean of its divisors is an integer number (8640130026060).

Almost surely, 2^{100212112101021} is an apocalyptic number.

It is an amenable number.

100212112101021 is a deficient number, since it is larger than the sum of its proper divisors (38029968315939).

100212112101021 is a wasteful number, since it uses less digits than its factorization.

100212112101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153979356.

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

Adding to 100212112101021 its reverse (120101211212001), we get a palindrome (220313323313022).

The spelling of 100212112101021 in words is "one hundred trillion, two hundred twelve billion, one hundred twelve million, one hundred one thousand, twenty-one".