212133310098401 has 2 divisors, whose sum is σ = 212133310098402. Its totient is φ = 212133310098400.

The previous prime is 212133310098383. The next prime is 212133310098461. The reversal of 212133310098401 is 104890013331212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164278667631376 + 47854642467025 = 12817124^2 + 6917705^2 .

It is a cyclic number.

It is not a de Polignac number, because 212133310098401 - 2¹⁰ = 212133310097377 is a prime.

It is not a weakly prime, because it can be changed into another prime (212133310098461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106066655049200 + 106066655049201.

It is an arithmetic number, because the mean of its divisors is an integer number (106066655049201).

Almost surely, 2^{212133310098401} is an apocalyptic number.

It is an amenable number.

212133310098401 is a deficient number, since it is larger than the sum of its proper divisors (1).

212133310098401 is an equidigital number, since it uses as much as digits as its factorization.

212133310098401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 212133310098401 in words is "two hundred twelve trillion, one hundred thirty-three billion, three hundred ten million, ninety-eight thousand, four hundred one".