100212111103829 has 2 divisors, whose sum is σ = 100212111103830. Its totient is φ = 100212111103828.

The previous prime is 100212111103823. The next prime is 100212111103999. The reversal of 100212111103829 is 928301111212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75184333392100 + 25027777711729 = 8670890^2 + 5002777^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212111103829 - 2⁴ = 100212111103813 is a prime.

It is a super-2 number, since 2×100212111103829² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100212111103795 and 100212111103804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100212111103823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106055551914 + 50106055551915.

It is an arithmetic number, because the mean of its divisors is an integer number (50106055551915).

Almost surely, 2^{100212111103829} is an apocalyptic number.

It is an amenable number.

100212111103829 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212111103829 is an equidigital number, since it uses as much as digits as its factorization.

100212111103829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 32.

The spelling of 100212111103829 in words is "one hundred trillion, two hundred twelve billion, one hundred eleven million, one hundred three thousand, eight hundred twenty-nine".